{ "cells": [ { "cell_type": "markdown", "id": "4f39c0d5-edff-4cb0-8dc7-6fea2f8230f3", "metadata": {}, "source": [ "# Fuzzy order-sorted feature (OSF) logic\n", "\n", "## Fuzzy sort taxonomies\n", "\n", "Sorts denote fuzzy sets. A fuzzy sort taxonomy is a fuzzy lattice (or a fuzzy partial order)." ] }, { "cell_type": "code", "execution_count": 1, "id": "e07efd3d-437b-41b0-9a52-ffa69beaa58c", "metadata": {}, "outputs": [], "source": [ "from fosf.parsers import parse_taxonomy\n", "from fosf.utils.draw import notebook_display as display" ] }, { "cell_type": "code", "execution_count": 2, "id": "7db77615-ec3d-45e8-80fb-b9e09f9c307a", "metadata": {}, "outputs": [], "source": [ "fuzzy_taxonomy_str = \"\"\"\n", "bot < director, writer, producer, string, slasher.\n", "director, writer, producer < person.\n", "slasher < horror, thriller (0.5).\n", "thriller, horror < movie.\n", "person, string, movie < top.\n", "\"\"\"\n", "fuzzy_tax = parse_taxonomy(fuzzy_taxonomy_str)" ] }, { "cell_type": "markdown", "id": "5bb163d3-e3de-476d-adb3-1113821d7e9c", "metadata": {}, "source": [ "`bot` (⊥) denotes the empty set, and `top` (⊤) denotes the whole domain/universe." ] }, { "cell_type": "code", "execution_count": 3, "id": "af49a58b-5b5d-4754-9272-3fe8b03e3bd5", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "fosf.syntax.taxonomy.FuzzySortTaxonomy" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(fuzzy_tax)" ] }, { "cell_type": "code", "execution_count": 4, "id": "f503a9b9-cc13-4ffb-b210-a19ba540316a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(fuzzy_tax)" ] }, { "cell_type": "markdown", "id": "fb518715-b784-4883-8d2e-b1382e7cf2b6", "metadata": {}, "source": [ "Greatest lower bound (GLB, or meet) computation, representing set intersection." ] }, { "cell_type": "code", "execution_count": 5, "id": "ebc5d840-f46d-461b-8821-8c7edf5d6163", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Sort('slasher')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fuzzy_tax.glb(\"thriller\", \"horror\")" ] }, { "cell_type": "code", "execution_count": 6, "id": "82a84baf-9336-4d0d-ae53-479487b5fe69", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Sort('producer')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fuzzy_tax.glb(\"person\", \"producer\")" ] }, { "cell_type": "code", "execution_count": 7, "id": "ab6c5fcb-6dd6-49fe-9017-5e4600a1d1d4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Sort('bot')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fuzzy_tax.glb(\"string\", \"movie\") # the intersection of 'string' and 'movie' is empty" ] }, { "cell_type": "markdown", "id": "b95650f8-ed25-4b9c-8b9d-05662dafe557", "metadata": {}, "source": [ "Checking (fuzzy) subsumption:" ] }, { "cell_type": "code", "execution_count": 8, "id": "9e0d14e6-ccb3-4b02-add4-92301d26b3e4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fuzzy_tax.is_subsort(\"slasher\", \"movie\")" ] }, { "cell_type": "code", "execution_count": 9, "id": "3bc6e801-107c-4a4d-aeb7-51ec787ae272", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fuzzy_tax.is_subsort(\"writer\", \"movie\")" ] }, { "cell_type": "code", "execution_count": 10, "id": "84e719a3-935e-47de-84b4-116848fe3765", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fuzzy_tax.degree(\"slasher\", \"movie\")" ] }, { "cell_type": "code", "execution_count": 11, "id": "a26ae26a-ee2c-49ba-9ca6-c36e7353f002", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.5" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fuzzy_tax.degree(\"slasher\", \"thriller\")" ] }, { "cell_type": "markdown", "id": "07b85b6c-978f-4925-9f2e-bc41dcaff0f0", "metadata": {}, "source": [ "## OSF constraints and clauses\n", "\n", "OSF constraints are simple expressions like:\n", "\n", "- `X:movie`, meaning that the entity denoted by `X` is of sort (type) `movie` .\n", "- `X.directed_by = Y`, meaning that the entity denoted by `X` is directed by the entity denoted by `Y`.\n", "- `X = Y`, meaning that the entities denoted by `X` and `Y` are the same.\n", "\n", "Where `X` is a tag (variable), `movie` is a sort, and `directed_by` is a feature (functional attribute).\n", "\n", "A conjunction of constraints forms an *OSF clause*." ] }, { "cell_type": "code", "execution_count": 12, "id": "b5ec01fc-61fb-4971-adc3-3f725a021dd4", "metadata": {}, "outputs": [], "source": [ "from fosf.parsers import parse_clause" ] }, { "cell_type": "code", "execution_count": 13, "id": "c09403e5-91e6-4f33-b4df-ff9ebf68ffbe", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The clause X : movie & X.directed_by = Y & X.written_by = Z & Y : director & Y = Z. is composed of the following constraints:\n", "\t- Y : director ` of type \n", "\t- Y = Z ` of type \n", "\t- X.written_by = Z ` of type \n", "\t- X.directed_by = Y` of type \n", "\t- X : movie ` of type \n" ] } ], "source": [ "clause_str = \"X:movie & X.directed_by = Y & Y:director & X.written_by = Z & Y = Z\"\n", "clause = parse_clause(clause_str)\n", "print(f\"The clause {clause} is composed of the following constraints:\")\n", "for constraint in clause:\n", " print(f\"\\t- {str(constraint):17s}` of type {type(constraint)}\")" ] }, { "cell_type": "markdown", "id": "a5c3e3dc-a77a-4276-8b8f-499b4afb21e3", "metadata": {}, "source": [ "Graphical representation of an OSF clause:" ] }, { "cell_type": "code", "execution_count": 14, "id": "f2f56b34-2b63-4154-8d31-53b9b52e34b6", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(clause)" ] }, { "cell_type": "markdown", "id": "ba8e7dfb-bcfc-4a4e-a5e4-e84a3fdde6e8", "metadata": {}, "source": [ "The clause represents some movie `X` directed by some `Y` (who is a director) and written by some `Z` (implicitly of sort `top`), and `Z` and `Y` are the same entity." ] }, { "cell_type": "markdown", "id": "091f22cf-0d5c-4e2b-abdd-167286949208", "metadata": {}, "source": [ "## OSF constraint normalization" ] }, { "cell_type": "code", "execution_count": 15, "id": "1324b996-e609-481d-9b2f-18e69e40fba4", "metadata": {}, "outputs": [], "source": [ "from fosf.reasoning import normalize_clause" ] }, { "cell_type": "markdown", "id": "e5c34e38-572d-4c0a-a3f4-0c6589951512", "metadata": {}, "source": [ "OSF clauses can be simplified into a normal form." ] }, { "cell_type": "code", "execution_count": 16, "id": "deb8509d-9e6b-4fb8-b551-0d91a4418d93", "metadata": {}, "outputs": [], "source": [ "normalized_clause = normalize_clause(clause, fuzzy_tax)" ] }, { "cell_type": "code", "execution_count": 17, "id": "8525c18c-5fee-4eea-a19c-cf34f3c03013", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(normalized_clause)" ] }, { "cell_type": "markdown", "id": "4365e120-7500-4d98-8c50-76578f1a6302", "metadata": {}, "source": [ "A slightly more complex example:" ] }, { "cell_type": "code", "execution_count": 18, "id": "08042a73-6fb6-4a65-89d4-41b746716810", "metadata": {}, "outputs": [], "source": [ "clause_str = \"\"\"\n", "X:movie & X.title = W & W: string &\n", "X1 : thriller & X1.directed_by = Y & Y : director &\n", "X2: horror & X2.written_by = Z & Z : person & X2.directed_by = Z\n", " & X = X1 & X = X2\n", "\"\"\"\n", "clause = parse_clause(clause_str)" ] }, { "cell_type": "markdown", "id": "a25a4405-70a9-4075-9e55-eb59324ac4ff", "metadata": {}, "source": [ "Before normalization:" ] }, { "cell_type": "code", "execution_count": 19, "id": "577eafb0-6d5d-4ee5-8084-85448e347278", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(clause)" ] }, { "cell_type": "markdown", "id": "3a7538c6-ca10-4e41-b5f4-a3ea708fb64b", "metadata": {}, "source": [ "After normalization:" ] }, { "cell_type": "code", "execution_count": 20, "id": "b2610fcc-88af-44e2-9893-0cea3b33247d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(normalize_clause(clause, fuzzy_tax))" ] }, { "cell_type": "markdown", "id": "19888d4f-cb22-46c4-95c6-629315b77cd0", "metadata": {}, "source": [ "The normalization works as follows:\n", "\n", "- Since `X`, `X1` and `X2` are supposed to be the same entity, then this entity must be a `movie`, a `thriller` and a `horror` at the same time. According to OSF logic, the sort associated with this entity must be the GLB of these three sorts, i.e., `slasher`\n", "- Since features are *functional* and we have `X1.directed_by = Y`, `X2.directed_by = Z` and `X1 = X2`, then we must have `Y = Z`.\n", "- Etc." ] }, { "cell_type": "markdown", "id": "ac6c496a-79a4-4a2f-9827-fe7c92e3dce9", "metadata": {}, "source": [ "## OSF Terms\n", "\n", "An OSF term is another type of syntactic expression in OSF logic, which generalizes first-order terms.\n", "\n", "Every OSF term can be rewritten as an OSF clause, and (rooted solved) OSF clauses can be rewritten as (normal) OSF terms." ] }, { "cell_type": "code", "execution_count": 21, "id": "be77828d-fbf4-4202-9898-842145f9d1db", "metadata": {}, "outputs": [], "source": [ "from fosf.parsers import parse_term" ] }, { "cell_type": "code", "execution_count": 22, "id": "bbb16adb-0ab8-43b4-976d-815e4f2b2655", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X0 : movie(directed_by -> Y : director, written_by -> Y, title -> X1 : string)\n" ] } ], "source": [ "term_str = \"\"\"\n", "movie(\n", " directed_by -> Y:director,\n", " written_by -> Y,\n", " title -> string\n", ")\n", "\"\"\"\n", "term = parse_term(term_str)\n", "print(term)" ] }, { "cell_type": "code", "execution_count": 23, "id": "adefed62-0af1-45bc-a785-f112074c029a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X0 : movie(\n", " directed_by -> Y : director\n", " written_by -> Y\n", " title -> X1 : string\n", ")\n" ] } ], "source": [ "term.pretty_print()" ] }, { "cell_type": "code", "execution_count": 24, "id": "28df7abd-d509-47a3-a8bf-f285426c785f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(term)" ] }, { "cell_type": "markdown", "id": "725ab872-eefe-4dfa-94f6-9efb9e0cbf70", "metadata": {}, "source": [ "Translating into an OSF clause:" ] }, { "cell_type": "code", "execution_count": 25, "id": "0197242a-b196-407e-b306-fbb17fc13890", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X0 : movie & X0.directed_by = Y & X0.title = X1 & X0.written_by = Y & X1 : string & Y : director.\n" ] } ], "source": [ "print(term.to_clause())" ] }, { "cell_type": "markdown", "id": "cd66a711-34ff-4b0a-9b46-5c8527340f02", "metadata": {}, "source": [ "## OSF term normalization" ] }, { "cell_type": "markdown", "id": "44b861c5-f2c7-4b75-89e7-9b736cb67239", "metadata": {}, "source": [ "OSF terms with reduntant sorts/features can be normalized" ] }, { "cell_type": "code", "execution_count": 26, "id": "4d62ca7b-b4f3-4c52-ac35-974f56904fe7", "metadata": {}, "outputs": [], "source": [ "from fosf.reasoning import normalize_term" ] }, { "cell_type": "code", "execution_count": 27, "id": "9ea32afe-3ba2-4aa2-a0e7-5abb879e1529", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X0 : movie(directed_by -> Y : director(spouse -> P : producer), directed_by -> Z : person(name -> X1 : string), written_by -> Y, produced_by -> P(spouse -> Y), title -> X2 : string)\n" ] } ], "source": [ "term_str = \"\"\"\n", "movie(\n", " directed_by -> Y:director(spouse -> P:producer),\n", " directed_by -> Z:person(name -> string),\n", " written_by -> Y,\n", " produced_by -> P(spouse -> Y),\n", " title -> string\n", ")\n", "\"\"\"\n", "term = parse_term(term_str)\n", "print(term)" ] }, { "cell_type": "code", "execution_count": 28, "id": "0169c993-da98-440a-8643-0240fa789197", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(term)" ] }, { "cell_type": "code", "execution_count": 29, "id": "6b8ad5f8-c9db-4872-844f-a8c51e49767c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X0 : movie(\n", " directed_by -> Y : director(\n", " name -> X1 : string\n", " spouse -> P : producer(\n", " spouse -> Y\n", " )\n", " )\n", " written_by -> Y\n", " produced_by -> P\n", " title -> X2 : string\n", ")\n" ] } ], "source": [ "normalized_term = normalize_term(term, fuzzy_tax)\n", "normalized_term.pretty_print()" ] }, { "cell_type": "code", "execution_count": 30, "id": "4443528c-2b7d-4958-bf84-8b5513391a61", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(normalized_term)" ] }, { "cell_type": "markdown", "id": "6f849264-41a9-4994-88d1-24b507288659", "metadata": {}, "source": [ "## Fuzzy OSF term unification" ] }, { "cell_type": "markdown", "id": "e57ff7f2-10e9-4957-ac19-f193baf378f8", "metadata": {}, "source": [ "Similarly to first-order terms, OSF terms can be unified. In fuzzy OSF logic, unification takes into account the sorts associated with the tags, and their fuzzy subsumption." ] }, { "cell_type": "code", "execution_count": 31, "id": "5de52ce9-c461-440f-a287-bcbc859c6b55", "metadata": {}, "outputs": [], "source": [ "from fosf.syntax import NormalTerm\n", "from fosf.reasoning import unify_terms" ] }, { "cell_type": "code", "execution_count": 32, "id": "9716a3c6-a0d4-4819-a279-f4888c6b1323", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X : thriller(\n", " directed_by -> Y : top\n", " written_by -> Y\n", ")\n" ] } ], "source": [ "term1 = parse_term(\"X:thriller(directed_by -> Y:top, written_by -> Y)\",\n", " # If we know we are parsing a term which is in normal form, we can pass this argument\n", " create_using=NormalTerm)\n", "term1.pretty_print()" ] }, { "cell_type": "code", "execution_count": 33, "id": "3a8443e8-548d-48ee-9249-680bc408a518", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Z : horror(\n", " directed_by -> X0 : director\n", " written_by -> X1 : person\n", ")\n" ] } ], "source": [ "term2 = parse_term(\"Z:horror(directed_by -> director, written_by -> person)\",\n", " create_using=NormalTerm)\n", "term2.pretty_print()" ] }, { "cell_type": "code", "execution_count": 34, "id": "09ebfb71-b7ae-41b2-836b-99429fd13c9d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X0 : slasher(\n", " directed_by -> X1 : director\n", " written_by -> X1\n", ")\n", "0.5\n" ] } ], "source": [ "unifier, degree = unify_terms([term1, term2], fuzzy_tax, return_degree=True)\n", "unifier.pretty_print()\n", "print(degree)" ] }, { "cell_type": "markdown", "id": "08afb28f-ea16-4dd2-8455-f5d4a14ae322", "metadata": {}, "source": [ "In fuzzy OSF logic, we can compute a unification degree as the minimum subsumption degree between the unifier and each initial term.\n", "In this case, the unification degree is 0.5." ] }, { "cell_type": "markdown", "id": "19c44376-c978-45c3-b277-46304bf1cc5f", "metadata": {}, "source": [ "Visualization of how the terms are unified:" ] }, { "cell_type": "code", "execution_count": 35, "id": "c6d74480-1c14-411a-968b-83baebf11d4f", "metadata": {}, "outputs": [], "source": [ "from fosf.utils.draw import unification_to_agraph" ] }, { "cell_type": "code", "execution_count": 36, "id": "f00b09ad-92bf-407c-bb59-69e3db775d72", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(unification_to_agraph([term1, term2], fuzzy_tax))" ] }, { "cell_type": "markdown", "id": "d9f96e60-654b-431b-ac50-e5d8b127b3ed", "metadata": {}, "source": [ "## Sort definitions" ] }, { "cell_type": "markdown", "id": "a80948bb-81c3-4057-a016-3a73f0bd9670", "metadata": {}, "source": [ "Sort definitions allow to specify structural constraints on OSF terms. E.g.: *If X is a movie and X is directed by Y, then Y must be a director*.\n", "\n", "An *OSF theory* is composed of a (fuzzy) sort taxonomy and a set of sort definitions. An OSF theory should satisfy *order-consistency*, that is:\n", "if `s` is a subsort of `t`, then `s` must inherit all of `t`'s constraints." ] }, { "cell_type": "code", "execution_count": 37, "id": "771506b8-8273-4fb9-b22b-0a4ee26ac27e", "metadata": {}, "outputs": [], "source": [ "from fosf.parsers import parse_theory" ] }, { "cell_type": "code", "execution_count": 38, "id": "45bf66d8-29c9-4365-9613-3a9e5fc9859b", "metadata": {}, "outputs": [], "source": [ "theory_str = \"\"\"\n", "# fuzzy sort taxonomy\n", "bot < director, writer, producer, string, slasher.\n", "director, writer, producer < person.\n", "slasher < horror, thriller (0.5).\n", "thriller, horror < movie.\n", "person, string, movie < top.\n", "\n", "# sort definitions\n", "person := Yp:person(spouse -> Y1:person(spouse -> Yp)). # The spouse of a person Yp must be a person, and their spouse must be Yp\n", "director := Yd:director(spouse -> Y2:person(spouse -> Yd)). # director is a subsort of person, so it must inherit the spouse constraint\n", "writer := Yw:writer(spouse -> Y3:person(spouse -> Yw)). # same\n", "producer := Ypr:producer(spouse -> Y4:person(spouse -> Ypr)). # same\n", "\n", "movie := Ym:movie(directed_by -> Y5: director).\n", "thriller := Yt:thriller(directed_by -> Y6: director).\n", "horror := Yh:horror(directed_by -> Y7: director).\n", "slasher := Ys:slasher(directed_by -> Y8: director).\n", "\n", "string := Ystr:string.\n", "\"\"\"\n", "theory = parse_theory(theory_str)" ] }, { "cell_type": "code", "execution_count": 39, "id": "21762f76-83ca-4b9b-9247-36c3174c92f0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "The sort 'horror' is defined as:\n", "Yh : horror(\n", " directed_by -> Y7 : director\n", ")\n" ] } ], "source": [ "sort = \"horror\"\n", "definition = theory[sort]\n", "print(f\"\\nThe sort '{sort}' is defined as:\")\n", "definition.pretty_print()" ] }, { "cell_type": "markdown", "id": "0c9bd2f1-c3bb-4fac-900a-9dc2f09c656f", "metadata": {}, "source": [ "Not every sort needs to be explicitly defined as above. Instead, one can specify only the essential ones and then close the theory." ] }, { "cell_type": "code", "execution_count": 40, "id": "76d7d0e0-d953-40f3-b5bf-fe7fedf6c2b6", "metadata": {}, "outputs": [], "source": [ "theory_str = \"\"\"\n", "# sort taxonomy\n", "bot < director, writer, producer, string, slasher.\n", "director, writer, producer < person.\n", "slasher < horror, thriller (0.5).\n", "thriller, horror < movie.\n", "person, string, movie < top.\n", "\n", "# sort definitions\n", "person := Yp:person(spouse -> Y1:person(spouse -> Yp)).\n", "movie := Ym:movie(directed_by -> Y5: director).\n", "string := Ystr:string.\n", "\"\"\"\n", "theory = parse_theory(theory_str, ensure_closed=True)" ] }, { "cell_type": "markdown", "id": "de8a042b-d98f-481d-ac9d-a1d0c1ff4fae", "metadata": {}, "source": [ "Now, e.g., `horror` will inherit the constraints from `movie`." ] }, { "cell_type": "code", "execution_count": 41, "id": "eb15cf4a-cf01-40a9-bd23-b5f77c29f50b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "The sort 'horror' is defined as:\n", "Yhorror : horror(\n", " directed_by -> Y5 : director\n", ")\n" ] } ], "source": [ "definition = theory[sort]\n", "print(f\"\\nThe sort '{sort}' is defined as:\")\n", "definition.pretty_print()" ] }, { "cell_type": "markdown", "id": "a321af5b-5278-4f00-be85-f4e7f602e09c", "metadata": {}, "source": [ "When a term is normalized, it can be normalized according to the given theory." ] }, { "cell_type": "code", "execution_count": 42, "id": "db43ab0f-a67a-47a3-98a8-2ecc8fd6fe28", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X : movie(\n", " directed_by -> X0 : director\n", ")\n" ] } ], "source": [ "term = parse_term(\"X:movie(directed_by -> top)\")\n", "normal_term = normalize_term(term, theory.taxonomy, theory)\n", "normal_term.pretty_print()" ] }, { "cell_type": "markdown", "id": "9b584a76-4e2d-40ea-968c-25abf5902c1e", "metadata": {}, "source": [ "Without passing the theory, the term would be normalized as usual (in this case the term is already in normal form)" ] }, { "cell_type": "code", "execution_count": 43, "id": "7851d40c-0b4c-4dae-a19b-66d73a1dc1df", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X : movie(\n", " directed_by -> X0 : top\n", ")\n" ] } ], "source": [ "normal_term_no_theory = normalize_term(term, theory.taxonomy)\n", "normal_term_no_theory.pretty_print()" ] }, { "cell_type": "markdown", "id": "f7799ff5-711c-486e-a838-b3ac8943fdf9", "metadata": {}, "source": [ "The constraints in the theory are checked *lazily*. E.g.: if the feature `directed_by` is not specified, then there is no need to check that its value is of the correct sort." ] }, { "cell_type": "code", "execution_count": 44, "id": "d3417bec-14a8-4667-95be-0b01816b1454", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X : movie\n" ] } ], "source": [ "term = parse_term(\"X:movie\")\n", "normal_term = normalize_term(term, theory.taxonomy, theory)\n", "normal_term.pretty_print()" ] }, { "cell_type": "markdown", "id": "166a6bbe-a986-4684-ba45-5fb601cb528b", "metadata": {}, "source": [ "Another example:" ] }, { "cell_type": "code", "execution_count": 45, "id": "6f85c28d-1b8e-438c-8f1c-a2b311e6a252", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X0 : movie(\n", " directed_by -> X1 : director(\n", " spouse -> W : person(\n", " spouse -> X1\n", " )\n", " )\n", " written_by -> W\n", ")\n" ] } ], "source": [ "term = parse_term(\n", " \"\"\"\n", " movie(\n", " directed_by -> top(spouse -> W:top),\n", " written_by -> W(spouse -> director)\n", " )\n", " \"\"\"\n", ")\n", "normal_term = normalize_term(term, theory.taxonomy, theory)\n", "normal_term.pretty_print()" ] }, { "cell_type": "markdown", "id": "2076877d-e4fc-4ad2-b4e6-a13464d88fe5", "metadata": {}, "source": [ "### Degree of satisfaction of a term with respect to a theory" ] }, { "cell_type": "markdown", "id": "30288dbd-e80d-4887-9d78-9a910984e4d5", "metadata": {}, "source": [ "In fuzzy OSF logic, a term might satisfy the constraints imposed by the theory up to some degree in (0, 1].\n" ] }, { "cell_type": "code", "execution_count": 46, "id": "2514f5a2", "metadata": { "tags": [] }, "outputs": [], "source": [ "theory_str = \"\"\"\n", "# sort taxonomy\n", "bot < thrillerdirector, horrorwriter, producer, string, slasher.\n", "director, writer, producer < person.\n", "thrillerdirector < director.\n", "horrorwriter < writer.\n", "slasher < thriller (0.5), horror.\n", "thriller, horror < movie.\n", "person, string, movie < top.\n", "\n", "# sort definitions\n", "person := Yp:person(spouse -> Y1:person(\n", " spouse -> Yp,\n", " last_name -> Yn:string),\n", " last_name -> Yn).\n", "thrillerdirector := Yt:thrillerdirector(director_of -> Y2: thriller).\n", "horrorwriter := Yh:horrorwriter(writer_of -> Y3: horror).\n", "movie := Ym:movie(directed_by -> Y5: director(director_of -> Ym),\n", " written_by -> Y6: writer(writer_of -> Ym)).\n", "\"\"\"\n", "theory = parse_theory(theory_str, ensure_closed=True)" ] }, { "cell_type": "code", "execution_count": 47, "id": "400b647f-26f8-48a1-acbd-4919ea18d26c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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rYwVtMpnMZDKJRGKPQ2c8PT2H/Cyys7ORfxnC69evDQ0N4aLVWAGdUXVwdnYuKipCH2nNzc2trKzke12HkNjY2Li4uMOHDyO7JiYmyPb69eubm5uHo8S+8ff3BwBERkaiEbFY/Ndff1GpVG9vbyRCJBK3bt1aV1d35MiRsLCwLVu29J3n4sWLu7q6kpKS5IMHDx40NTXt6uoaWv1ZWVmvXr2Sf8MyNTXV2dl5aEuBvAEj37QJGSaQJ0r5+Qj279+vpaXV0NAwtAU1NTWZmJg8ePBAIT579mwAQFBQUB/HDrxvWn70jLe3N4FAkE/j7u5Oo9HQXfm+aYFAgPZNy79bIpPJBAIB8nS8Zs2afsutra21srKytLSMiopqbm5uaGg4deqUurr61atX+xD/dnzwwQe2trboamVCoZBKpaId65CRBzqjSrF8+fJJkyahu3w+n81m921Vb4qRkRH6s4oOTu7e93L06NEeD58xY0YffdNPnjyRz2T37t1paWnykR9++AEZtomyd+9e5Nj6+vpt27ZZWFiQSCQGg+Ht7f3XX391L2LXrl0AAIUpGxRq1qtXr0biDQ0NO3bsQMZIslisuXPnxsXFvdXX1hfx8fF4PP7atWto5NixY+rq6kP+kwYZONAZVQrER/788080EhcXRyAQYO1DaamoqGCxWCtXrkQjQqHQ2Nh4y5YtGKqC4GQy2aCfyCFKxOrVq588eZKdnY12dO7Zs+fw4cMRERHyzVgQZaCxsdHb27utrS01NZVGoyHBnTt3hoSEFBQUsFgsbOWNabC2ZsgQw+VyWSzWBx98gEa6urpWr15NJpPln9cgmFNZWWlvb29ubi7/Zg4yZRycdB1zoDOqINHR0QQCAW2Ak8lkEolk69ateDz+0KFDaDM/BEPS09PNzMzeeeedyspKNPjs2TMmkxkQEIChMAgCdEbVJCQkBI/Hf//99/LBQ4cOkUgkLy8vuMAxhnR2du7bt49EIs2ePVu+jyUnJ0dXV3fOnDnynfIQrIDOqLIcP34ch8MdOnRIPpiWlmZra8tkMs+ePTtUU3xDBk5mZubUqVOpVOrPP/8sX3nPzs7W19f38PBobW3FUB4EBTqjKvPzzz/j8fiAgAD5+621tRV5X9jBwSEmJgZDeWOK8vLywMBAPB4/bdq0vLw8+Y8uX75Mo9E8PDyEQiFW8iAKQGdUce7fv89mszkcTklJiXw8Pz8fGdg8Z84c+TlsIENOVVXVrl27qFSqlZXV1atX5auKnZ2dn3/+OQDg448/7ujowFAkRAHojKpPaWmpo6Mjk8k8deqUwhP048eP3dzcAACTJk26fPkyvDmHlszMzDVr1qipqenr6x89elRh4caMjIzJkyfTaDT5OSIhSgJ0xjFBa2vrZ599RiQSp0+fnpOTo/BpSkrK8uXLiUSiiYnJN998o1C7hLwpyGy7yKwTEydOPHfunMI6ECKRaMeOHUQi0c3NTeHJGqIkQGccQ2RlZU2ZMoVEIu3atav7m2evXr367LPP9PX1cTjcjBkzgoODm5ubMdE5SpFIJH/99VdgYCCdTldTU/Pz87t3757CGCmJRBIWFmZmZqalpRUcHAxHUCkt0BnHFhKJ5Ndff9XV1dXU1Pz666+bmpq6J4iLiwsICKDRaEQi0dXV9eeff4ajfPqgtbU1Li5uy5YtyBvldnZ2Bw4cqK2tVUgmlUpv3LjxzjvvIH1i6Gq0EOUEOuNYRCAQfPfdd9ra2kwm89tvv+1x5oLm5ubz588vWbIEecvQyclpz549Dx8+hKPtEPLy8k6ePLlw4UIqlYrH46dMmbJ///4eH427urpu3brl6OiIx+OXL18uv3oqRGmBzjh24fP53377LZPJpFKpH374YW+L/7W3t0dHR2/cuNHMzAwAQKFQPDw8vvnmm0ePHo0pl5RKpYgbrly5EpkNl06nL1y4MDg4mMvl9ngIj8c7cOCAubk5Dofz9/fPzs4eYc2QtwbOKDHWEYlEFy9ePHHiRG5u7tSpUzdt2rRkyRL5dQXk4XK5SUlJ8fHx8fHxpaWlRCJx/PjxLnJQqdQR1j+scLncZ3+TkpJSX19Po9GmTZvm6urq5uY2c+ZMNTW1Hg9MTU09depUWFgYhUIJCgratGnTuHHjRlg8ZDBAZ4T8j2fPnh07diwsLIxIJHp5ea1Zs8bPz6+3Ox8AUFZWlpKSkp6enp6enpmZKRAI1NTUbG1tbWxs7OzsbG1tbW1tx48f30cOykZFRUVBQUFeXl5+fn5+fn5ubm5jYyOBQLC1tZ00aZKLi8vkyZNdXFz6WFTrxYsX169fv3LlSlFR0YQJEzZu3Lh27Vr51V0gowXojJB/UFtbe/369atXryYlJTGZTH9//2XLlrm7u/ddGZRKpUVFRc+ePcvJycnPz8/Ly3v16pVEIiESiebm5ubm5mZmZqampsi2qampgYEBmUwesZOSRyaT1dXVVVRUlJeXv379uqys7PXr169fvy4tLRUIBAAAFouFOLudnZ2zs7OjoyM6P1hvZGdnh4eHh4WFvXjxwsTEZPny5StXrpRf6RAy6oDOCOmZioqKq1evXr16NT09nUqlenh4zJs3b968edbW1gM5XCwWFxQUFBQUFBUVIdaDOJFYLEYSMBgMfX19FovFYrGQDU1NTQ0NDSaTSaPR6HQ6nU5nMpk4HI5Go6EVTw0NDbTKhqzth2wjA4xaWlpEIpFIJGpubkY2hEIhj8fj8Xi1tbW1tbXItkQiAQDgcDgDAwPEqc3MzCwtLRE31NHRGcgJCgSC+Pj46OjomJiYyspKPT29pUuXrly50tXVFS5rpQJAZ4T0Q1VVVUxMTHR0dHx8PJ/Pt7a2njNnzvTp093c3MzNzd8oK5lMVlNTU1ZWVldXJ29VNTU1PB5PKBQKhULE4wYvG/FWDQ0NFoulq6vLZrPljdjY2NjU1PRN660CgSAlJSU5Ofnhw4fJyclSqZROp/v5+X366acuLi54PFxvTnWAzggZKF1dXcnJyTExMY8ePUpPT+/o6DA0NHR1dXV1dZ02bdrEiROHqvtFvuoHeqobItt0Oh1djhmpS6qrqyOGqKWlNSRKZDJZaWlpampqcnJyYmJibm6uRCKxtrZ2c3Pz9vaeOnXqzp07//zzz6+++mrPnj0EAmFICoUoA9AZIW9DZ2dndnZ2YmJiUlLSgwcP6uvrCQSCmZmZnZ0d0kltb29vYWEx6p4rOzo6Xr58iXRG5+XlZWZmNjQ0IF3wbm5urq6uHh4epqam8oeEhoZu3Lhx8uTJFy9eNDY2xko5ZGiBzggZLDKZ7OXLl8/lqKioAABoaWlZWVlZW1tbW1ujG8hIQGVAJBKVlJQUFxfL/62srJRKpRoaGg4ODg4ODo6OjhwOx8HBoe/qcF5e3sqVK7lc7tWrV+FiO6oBdEbI0NPU1JSVlZWfn19SUoL6Tnt7OwCASqUaGBgYGBjo6+sbGhrq6ekZGRmx2WwdHR1NTU0Gg6GpqTn4YS4dHR0CgUAgEDQ1NfH5fKRNk8vl1tTUIH+rq6sbGxsBAHg83tjYGDFuKyurcePGcTgcS0vLN63tikSif/3rX7dv3z5y5MiWLVsGqR+COdAZISOBTCarqqoqKSl5/fr16dOnjYyMcDgcalWtra3yiQkEgqamppaWlqamJtJ4h3ZJk8lkZBS6RCJBBtkAAAQCAdLdLPibtrY2+QyJRCKbzTY0NEQdWV9f38TExMrKysLCYqjGD8lksh9//HH37t0rVqw4c+ZMb6PlIaMC6IyQEeWXX37Zvn17dHT03Llz0aBIJGpsbOTz+Xw+XyAQIH+bm5vR/hZ0o7W1FRn3g8PhmEwmcjjaFUOn05GKJ1L3ZDAYiL3q6OiMWItnVFTU6tWrJ0yYEB4ezmazR6ZQyJADnREycjx9+nTGjBlITy7WWoaRoqIiX19fAEBMTMwAh39ClA3ojJARoqmpydnZ2crKKjY2VuUHuDQ0NLz33nsFBQXh4eGurq5Yy4G8MXBsKmQkkEqlq1evRuZtVXlbBADo6Ojcu3dv2rRpc+fOjYiIwFoO5I2BzggZCb777rv4+PgrV67o6upirWWEoNFod+7cWbVq1ZIlS27fvo21HMibAZ0RMuw8ePDg22+/PXz48Fh7riQSiWfOnNmwYcOyZcsuXbqEtRzIG9DrfEoQyJBQU1OzevXqBQsWbN68GWstGIDD4ZBVvwMDA6VSaUBAANaKIAMCOiNkGOnq6lq+fDmdTj9//vyoe1NwqMDhcEePHiUQCB9++CGVSl26dCnWiiD9A50RMox8+eWXaWlpycnJDAYDay0Yc/jw4Y6Ojg8++EBXV9fDwwNrOZB+gKN2IMNFRETEe++9d/bs2Q8//BBrLUqBTCYLDAz8888/Hz586OTkhLUcSF9AZ4QMC69fv3Z2dvb39//999+x1qJEdHZ2Lly4MCMjIykpCa4Mo8xAZ4QMPWKx2NXVtaOjIyUlBb4+rIBQKPTw8Ghvb09JSdHQ0MBaDqRn4KgdyNCzZcuWoqKia9euQVvsjoaGRkRERHNzc0BAAKyXKC3QGSFDzJUrV86cOXPu3DkbGxustSgpBgYG169fj46OPnjwINZaID0Dn6YhQ0lhYeHkyZPXrVt35MgRrLUoO8i0QxEREfPmzcNaC0QR6IyQIUMkEr377rsaGhqPHz8eRctMY0hAQEBsbGxOTo6enh7WWiD/ADojZMhYs2ZNZGRkRkaGmZkZ1lpGBy0tLY6Ojra2tuHh4VhrgfwD2M4IGRpOnDhx6dKly5cvQ1scODQaLSQkJCoqKiQkBGstkH8A64yQISAtLW3GjBn/+c9/9u7di7WW0ceOHTvOnj2bnZ0Nf1SUB+iMkMHS1NTk4uJiYWFx7969sTD34pDT1tbm4uJibm4eFRWFtRbI/4BP05BBIZPJPvzww87OzjEyJe1wQKVSf/vtt+jo6OjoaKy1QP4HrDNCBsX333+/d+/eBw8euLm5Ya1ldLNkyZK8vLzs7GxktS8ItsA6I+TtefTo0d69e3/88Udoi4Pn0KFDZWVlJ0+exFoIBABYZ4S8NbW1tc7OzpMmTbpz586YnXtxaPniiy/OnDnz8uVLbW1trLWMdaAzQt4GiUTi4+NTVlaWnp4O514cKgQCwfjx41esWHHs2DGstYx14NM05G3YvXt3YmLi1atXFWwxLCwMh8PhcDgKhYKVtiHhjU7k8OHDSGJjY+PBFKqpqblv377ffvvtxYsXg8kHMnhgnRHyxkRGRi5cuPDMmTNr167tMcHs2bMTExPb29uRXZFI5OTkNGHChFG3vqjCifSNo6NjfX19ZWXlYEqUSCTOzs56enqxsbGwjQJDYJ0R8maUl5cHBga+//77vdlid2QymVQqlUqlwyoMhU6nj94eIQKBcO7cuYcPHwYHB2OtZUwD14GBvAFisXjJkiUGBgZvdN9qaGiUlJQMnyoVw9nZeefOnbt27Zo9e7aVlRXWcsYosM4IeQO2b99eUFAAp6Qdbr755pvx48cvWbKktbUVay1jFOiMkIFy9erVkydPnjp1ytbWVj5eUFCwaNEiBoNBo9FmzJiRmJgo/ykypgcBabCTjxQWFi5fvlxHRwfZra+vBwDweLwtW7aYm5urqamxWKzFixdnZWXJ59nQ0LBjxw4rKysymWxsbDx79uyQkJC2tjakJ6SlpSUpKQnJkEj8/6eifrPt+0QGSEFBwfz58xkMhrq6uqenZ1JSEgCgubkZJ8f+/fsBAF1dXWhEYalVMpl848aNioqK9evXw54AbJBBIAOgsLBQU1Nz69atCvGXL18ymUwjI6N79+4JhcLs7Oy5c+eam5uTyWT5ZH5+fgCAtrY2hYi7u/uDBw9aWlpSUlIIBAKPx+NyuWZmZnp6epGRkUKhMDc3193dnUKhJCcnIwdWV1dbWFjo6+vfvXtXIBDU1NTs27cPAHD06FEkAY1Gc3V1VdDZb7YDPJE+4HA4DAbD09MzMTFRKBSmpaU5ODioqak9fB+c0OAAACAASURBVPgQSeDt7Y3H44uLi+WPmjZt2qVLl3rMMDY2lkgkfv311wMUABlCoDNC+kckEtnZ2U2ZMkUsFit8tGzZMgDAjRs30EhVVRWZTB6gM0ZFRSlkGBgYCACQN4vq6moymezi4oLsBgUFAQCuXr0qf5SPj0/fzthvtgM8kT7gcDgAgCdPnqCR7OxsAACHw0F2Y2NjAQCbNm1CEyQmJhoZGXV0dPSW5++//47D4U6ePDlADZChAjojpH/WrFmjra396tWr7h8hq98JhUL54MSJEwfojPX19QoZMhgMPB7P5/Plg87OzgCAiooKJAEAQCAQ9Ka2R2fsN9sBnkgfcDgcCoUilUrlg4aGhgAALpeLZqiuro6etZ+f34EDB/rOdv/+/Tgc7vTp0wOUARkSYDsjpB9Onjx58eLFixcvmpubK3wkFouFQiGFQqHT6fJxNps9wMxpNJpChnw+XyqVMhgM+Ya5jIwMAMDLly+RBBQK5Y3WIx1ItoM8EQSkwbR7DnV1dcjutm3bWltbf/vtNwBAUVHR/fv3P/74477z3L1794EDBzZs2HD8+PE3EgMZFFhbM0SpycrKolKpe/bs6S1Bj1UtJyenAdYZ5SMITCaTSCR2dnb2VmK/dUY6nd69zthvtgM8kT7gcDh0Ol0hqFBnbG9v19PTY7PZ7e3tH3/88aeffjrAzH/88UccDvfLL78MMD1kkMA6I6RXmpubFy9ePHXq1D5m6kbWvYuJiUEj9fX1hYWFb13o4sWLu7q6kC5dlIMHD5qamnZ1dQEA/P39AQAKk7w6OTlt374d2VZXV+/o6EC2J0yYgAy97DfbITkRkUj0/PlzdDcnJ4fL5XI4HAMDAyRCJpM3bdpUV1d35MiRS5cubd26dYA579q16+DBg1u3bv3mm2/eSBLkLcHamiFKilQq9ff319fXR+s7PVJcXKytrY126b548cLb25vNZr91nbG2ttbKysrS0jIqKqq5ubmhoeHUqVPq6upolwvSN21gYBARESEQCCoqKjZu3Kinp/f69WskgY+PD4PBKC8vT05OJhKJeXl5A8l2gCfSBxwOh0ajubm5paSkiESi7n3TCDwej0ql4nA4Pz+/AeaM8uuvv+Lx+C1btii0ZkKGHOiMkJ45cOAAkUh8/PhxvykLCwsXLVqkqalJpVInT54cERHh5eWF/O6uXbv29u3b8r/Eq1evfvLkSd8/z8hwRUtLSxKJxGKx5s6dGxcXJ5+gvr5+27ZtFhYWJBLJwMBg5cqVRUVF6KcFBQUzZsyg0WgmJiYnTpwYeLZ9n0gf38ChQ4eQZEZGRk+fPvX09KTT6VQq1d3dPTExsXv6devWAQAePXrU73fbnUuXLpFIpICAgD5aBiCDBzojpAeSk5NJJNKhQ4ewFqKa/PHHH+hoobcgMjJSXV19yZIlfQz3gQwSONcORJG6ujonJydnZ+fw8HA43ctw8O67727duvX9999/6xwSExN9fX09PT2vX7+upqY2hNogCLAHBvIPpFLpBx98QCKRzp8/D21xCPn999/9/f1FItGpU6eampqWL18+mNzc3Nzu37+fkJDg5+c3wEnSIG8EdEbIP9izZ09CQsLNmzfhhPsK4HpngP3Fd+7c0dLSOnnyZFhYmPwL3W/HpEmToqOjU1JS/P390b54yFABn6Yh/09UVNTChQtPnTqFdBFAlJ+0tDQvL69FixbBOv7QAp0R8j8qKiqcnZ3nzJlz+fJlrLVA3oDY2NiFCxd+/fXXX331FdZaVAfojBAAAOjs7PTw8ODz+ampqQpv7EGUn19//XX79u2xsbHoMCPIIIHOCAEAgM2bN4eEhKSmptrZ2WGtBfI2rFixIiEhIS8vj8lkYq1FFYA9MBBw7dq148ePnzx5Etri6OXkyZNSqfSLL77AWoiKAOuMY52XL19OmjRpzZo1v/76K9ZaIIPi8uXLAQEBGRkZyEyRkMEAnXFM09bWNn36dBKJlJCQQCaTsZYDGRQymWzKlClmZmY3btzAWsuoBz5Nj2k2btz4+vXrq1evQltUAXA43Jdffnnr1q2ioiKstYx6oDOOXYKDg0NDQ8+dO2dhYYG1FsjQ4OfnZ2xsHBoairWQUQ90xjFKdnb2tm3b/vOf/yCzgUFUAzwev3r16gsXLsBWskEC2xlVHy6XSyaTdXR00Ehzc/OkSZNMTEzi4uIG/5oaRKlIT0+fPHlyTk7OO++8g7WWUQysM6o+ISEhHA4nNTUV2ZXJZGvXrhWJRJcuXYK2qHo4OTkxmcyHDx9iLWR0A51R9QkLC+NyuW5ubsi4nCNHjvz555+XLl1CliiBqBgEAsHNzS0xMRFrIaMbWGVQcV69epWTkwMA6Orq2rp167Vr11JTU/fv3w9fI1Nh7Ozs4uLisFYxuoF1RhXn+vXrJBIJ2ZbJZCkpKXQ6HVkNCqKqWFtbv3z5EmsVoxvojCpOWFgYsjYeQldXl0AgmDx58u+//46hKsiwYmlpKRKJGhoasBYyioHOqMqUl5dnZWUpDD+QSCSdnZ3r1q1bu3YtnA5aJdHU1AQACIVCrIWMYqAzqjK3bt0iEAg9foTH40NDQ+FrZCoJMo+cSCTCWsgoBvbAqDJXrlyRSCTd4wQCYfz48RcuXHBxcRl5VZDhBnHGlpYWrIWMYmCdUWWpqalJS0tTeJQmkUgEAuGzzz7LysqCtqiqIMvCwHfhBwOsM6osN27cIBAI8t0veDzewcEhNDQUzsOo2iC1RXV1dayFjGJgnVFluXr1qlQqRbZJJJKamtr3338PZ+0eC7S2toK/n6khbwesM6omPB4vOTkZcUY8Hu/k5HT+/HkbGxusdUFGgqamJgAAg8HAWsgoBtYZVZPbt29LpVICgUChUI4dO/bkyRNoi2OHiooKLS0tOp2OtZBRDKwzDg1SqZTP57e0tLS1tQkEAplM1tzcDABobW0Vi8XIpwCAlpaWjo4OiUQiEAiQA8ViMfLsowByYPc4mUzusf2ISqVSKBRkW0ND49y5cwAAKyurwMBAFot18+ZN9EAmk4nD4TQ0NNTV1Wk0GoPBwOPhD6RKUVFRYWJigrWK0Q2chUyRrq6upqampqam5uZmhQ0+ny8QCNra2lpaWvh8fmtra1tbW1NTU1tbW79DprW0tMDf/oXD4dAF3vB4fI9PPUQiUUNDo3tcJBJ1dnZ2j/P5fLRVsbGxsby8XENDA1maHXm26gPENLW0tKhUKpVKZTKZ6urq6urqmpqaDAZDS0uLyWRqaWkpbKAvHUKUjYCAgKampoiICKyFjGLGVp2xqamptra2vr6ex+PV1NTw/qampqbpbxTGxxIIBNQOGAwGg8HQ0NDQ09NjMBjq6uqIjyCGIu8sAACkLtZbFW9YKSgooNFoCrUGxL7Ryiyfz29ra2ttbW1ubm5ra0Mtvq2trbm5GTH90tJSPp+P/jYoDI2k0+mIRWpra+vp6bHZbF1dXRaLpa+vz2KxWCwWm83W1tYe0TOHAAAAKCkpgUOyBomq1Rmbm5urqqoqKiq4XG5FRUVlZSWXy62qqkIcUL62pa2tzWazkXtYX19fW1u7x8oR8qIVBAAgEAi616ObmpoaGxtra2vr6urq6+vr6urkX9clkUiIXRoZGRkaGhobG5uYmBgaGpqYmBgZGSH1aMjQIpVKGQzGTz/9tG7dOqy1jGJGpTNKpVIul1v6N69fv66qquJyueXl5ei4fxqNZmpqamhoaGRkZGRkhJggm83W09ND7lX4MDhMdHV1Ib9D8nZZ9TcVFRVorVxdXR35HxkbG5uamlpaWlpaWlpYWBgbG8Omz7emuLh43LhxqampU6ZMwVrLKEbZnbG9vb2wsBA1wVevXpWWlpaVlSG9E1Qq1dLS0tzcHLE/pD5ibGxsbGwMhywoLQKBoLKyEqnOl5eXI5X6srKy0tJSpDNKTU3N3NwcNUpkY8KECVQqFWvto4CbN28uX75cIBDA8YyDQbmcUSwWFxcX5+XlvXjxAvlbWFiING9paWlZdsPc3BxWLlSJpqam0m68fv0auQYMDAzs7e3t7Ozs7e0tLS05HA6LxcJastLx9ddfX716tbCwEGshoxssnVEikRQVFWVmZmZkZOTk5BQUFJSXlwMAKBSKjY2NjY2NnZ2dra2tra2tlZUVOiQFMtYQi8UlJSX5+fkFBQUvXrwoKCgoKChoa2sDABgbG9va2r7zzjvOzs7Ozs4TJkzobW6hscOsWbPMzMyQYVuQt2ZEnbGzszMvLy8jIyMjIyMzM/P58+cikYhEIr3zzjscDgcxQTs7O3Nzc3h9Q/pAKpWWlZXl5+fn5eXl5+dnZ2fn5OR0dHSoq6tzOBxnZ2cnJydnZ+d33nlnrLUmd3Z2MpnMY8eOffTRR1hrGd0MuzPy+fykpKSEhISEhIT09HSxWEylUh0cHNDLd+LEiWpqasOqAaLydHZ25ubmZvxNdnZ2a2srmUx2cXGZMWOGm5ubq6vrWOgKT01NnTp1akFBwYQJE7DWMroZFmesrq5OSEhITEx8/PhxTk6OVCq1sbGZMWOGq6uri4uLjY0NXMwTMqxIJJKCgoJnz54lJSUlJibm5+fjcDh7e/uZM2e6ubnNnDlTVddNPHLkyIEDB+rq6pBB/pC3ZsicUSqVZmZm3r17NyIiIiMjA4/HT5gwwc3Nbfbs2R4eHrClHIIhAoHg6dOn8fHxiYmJyIOLpaXlggULFi5c6O7urkpP3AsXLlRTU7t58ybWQkY9g3XGxsbG2NjYiIiI2NjYhoYGS0tLX19fX1/fGTNmwBfaIUpIS0tLUlJSVFRUZGRkcXGxtra2t7f3/PnzfXx8dHR0sFY3KMRisa6uLhzjPSS8pTNKJJIHDx4EBwf/+eefEolk6tSpCxcunD17NnwnCTKKKC0tjY+Pv3v3blxcXFdXl6enZ0BAwNKlS0fpnK/37t3z9vZ+/fq1qakp1lpGPW/sjGlpaRcuXLhy5UpjY+OsWbPWrFnj5+cHX6GDjGqEQmF4ePiFCxfi4+MZDMbKlSsDAgKmTp2Kta43Y/v27fHx8Tk5OVgLUQlkA0MsFoeGhjo5OQEAbG1tv//++4qKigEeC4GMFiorKw8ePGhvbw8AcHBwOHfunFgsxlrUQJkwYcK///1vrFWoCP07Y0dHx6lTp4yNjUkk0vvvv5+SkjJ8apArEmXFihVI3MvLCw26uLig6TMzM319fRkMBp1O9/LySkxMHCZht2/fRgW0tbUNPsNDhw4huRkZGfUWGVquXLmC5E8mk4cjfxUjLS0tICCARCIZGhr+9ttvHR0dWCvqh+LiYgDA/fv3sRYy0gzTjdOPM0ZHR48bN05NTe2TTz4pLy8fwoJ7o6amBmkIv3jxonw8MjJy3LhxLS0taCQlJYVKpa5YsYLL5fJ4vHXr1hGJxNjY2OHT5ufn99bOKBQKra2t58+fLx/kcDgK/87ukaHFy8tL3hl7VAVBqays3LJlC5lMtrS0jIiIwFpOXxw8eFBHR6ezs3PIcx4VF8mQ3zi9vnQsEAhWr149b948R0fHwsLC48ePj8wswXp6er/88gsAYOvWrbW1tUiwqalpw4YNISEhaNO4VCpdu3Ytk8k8d+6cgYGBrq7uyZMnraysPvroox6nwn4j6HS6m5vbIDNRQCaTSaVSdHJZJWGEVQ3HFzusGBkZHTt2rKio6N13312wYMHKlSuR2S2VkJs3by5atGg4Rgr3eJH09q8cdf/i3ujZGQsKCqZMmXL//v3IyMhr166Zm5uPpKb333//vffea2ho+OSTT5DI5s2bV61aNX36dDTN48ePX7x4sXTpUnT+FQKBsGrVqoqKCuWcylhDQ6OkpCQqKgprIf9AOVUpG6amppcvX46JiUlISJg0aVJubi7WihSprKxMS0tbsmTJcGQ+Ni+SHpwxLy/Pw8NDS0srIyPD19d35DUBAE6dOqWlpXXz5s0bN27cuXMnKyvrv//9r3yC+/fvAwAmTZokH0R2//rrr5GUChkjeHt7Z2RkGBoazpo1Kzs7G2s5/+DGjRsMBkO+OR4yWBSerpE2BTc3N6FQOIQP7W9BSEgIAIDNZhsZGaWnpyt8umzZMgDAX3/9JR/MzMwEAHh5eb11oWhrLgqBQEA/RdoZX716tXz5cgaDoa2tPX/+/OLiYuRT+V6agoKCZcuWoXP9nzlzBv1IvplyIO2MdXV1mzdvNjMzQ+bH9vf3z8zM7LdEHo8nk8ny8/ORMVXq6upubm4JCQny7Yzdu5X6zbAPMQj19fXbt2+3tLRUU1MzMjLy8vI6d+5ca2tr318sehSJRGIymT4+PmhPQr+SRpiWlhZPT09zc/Pm5uaRL7033NzcAgIC0F3kQkVwdXVFgvHx8QCA8PBwZHfr1q1omuvXrw/80u3tX9n3v3iAl3FvN1e/IDdOfn6+r6+vpqYmlUr18PBAumQV1kHat2+fTCaTn95/yZIl3TNUdMYvvviCxWJVV1cPUNCwgtRY3d3du380Z84cAIBCR/nLly8BAM7Ozn3k6enpqa2t/eTJkz7S0Gg09HqSB7ng/Pz8kpOTRSLRX3/9pampOXny5O5p3N3dHzx40NLSkpKSQiAQkHu4ewdOv87I5XLNzMz09PQiIyOFQmFubq67uzuFQklOTu63xJcvXzKZTCMjo3v37gmFwuzs7Llz55qbmyv0TXdX1VuG/Yqprq62sLDQ19e/e/euQCCoqanZt28fAODo0aN9fLHIUXp6enfv3uXz+YWFhYsXL8bhcGfOnBnItzry8Hg8AwODbdu2YVJ6dyorK/F4/J07d+SDJ06cAABcunQJjQQFBQG58R4ymez27dvy1Yg3unR7u0d6jA/8MkZvrri4OCqVqnBz9QGHw2EwGJ6enomJiUKhMC0tzcHBQU1N7eHDh0gCb29vPB6vYLXTpk2T/4rk+YczSiQSHR2d7777boBqhhv0Z03hvy7rxRmLiorAP4f1dMfd3V1LS0v+X9Kdvp3x7t27aOT9999XqLwgaaKiono7/I2cMTAwUOH6rq6uRqaQ6bdEpFp948YNNFJVVUUmkwfojN0z7FcMcu9dvXpV/igfH5++nRE56sqVK2ikvb3d0NCQSqXW1NT0LQkrjhw5wmAwlGSo44EDB7S1tZHlz1AaGhrU1NR8fHyQ3dbWVi0tLWtrayqViqz6K5PJ/P39z58/jx7yRpfuGznjwC9j+Ztr6dKlA38y4HA4AAD5Gg/S4sHhcJDd2NhYAMCmTZvQBImJiUZGRr2Nx/qHM5aVlQEAUlNTByJluHn8+LGJiclPP/0EANDX129sbJT/dJiephH6dkb0dpXJZLt27QIAPH/+XCFNfX19b4e/kTMiCxDy+Xz5NM7OzgAAdKR9byUii7IqtIpMnDhxgM7YPcN+xSArTKA3Xnd6/GJ7PCogIAAAgN63fXyrmIDcdfn5+VgLkclksokTJ27cuLF7fNGiRQQCAXn+u3LlCvITBQAICQmRyWQNDQ1aWlryl8cbXbpv5IwDv4zlb67t27cr3Fx9wOFwKBSKVCqVDyIzKnG5XGR34sSJ6urq6An6+fkdOHCgtwyVdKkAkUgUFBQUHBy8ffv2efPm1dTUyDeLAABsbGwAAJWVlfLBqqoqAMD48eOHVZv8CjPIWgvdR70MyRIcYrEYWUWawWDg5MjIyAAAIE0HvZUoFouFQiGFQlGY14PNZg+w9O4Z9i0GSUChUHpcJrvvc+x+lJ6eHgCgpqamD0kYIlOaNUKQ+fCRHxIF1qxZI5FILl++DAC4cOHCmjVrVq1aRSAQLl26BAC4cuXKggULuk/7MuRf8htdxvI3FzJt68CHlOno6CjMvYZc7XV1dcjutm3bWltbf/vtNwBAUVHR/fv3P/74495y+4czmpiY6OrqxsXFDVDK8LFz587Zs2f7+PgAAE6fPq2pqXnhwgX54Tienp4AgGfPnskfhewOvodOSea2I5PJTCaTSCT2OHwX+Qb6OFZDQ6O9vV1h+ezGxsZhEkMmkxkMRnt7u1Ao7C2T7l9sb0chQ1n19fXfTu1wExcXx2AwLC0tsRYCLly4YG1t3eMr3vPnz9fW1r5w4QKPx0tJSVm0aJGent7cuXPv379fXV19/vz5NWvWvHW5vd0jPf6L3/oyfiP4fL5CBPFEtDawevVqPT2948ePi8XiI0eOBAYG9jGZ8T+cEY/Hf/zxxz///HN1dfVQyX0LYmNj4+LiDh8+jOyamJgg2+vXr0fH2bq7u9vZ2d24caO9vR2JSCSSsLAwExOT+fPnD1KAurp6R0cHsj1hwoTg4OBBZvjWLF68uKurKykpST548OBBU1PTrq6uvo+dN28eACAmJgaN1NfXD2bhpH7F+Pv7AwAUBr45OTkhj0Wgly8WOSoyMhI9RCwW//XXX1Qq1dvb+63VDh91dXWHDx9eu3Yt5nPRd3V1hYWFrVmzpkefUlNTW7FiRVZW1u7du/38/JCRvwEBARKJZO/evdXV1bNmzXrronu7R3qMD+YyHjgikej58+fobk5ODpfL5XA4BgYGSIRMJm/atKmuru7IkSOXLl1SeAxVRMHChULhuHHjpk+f3kdr0bDS1NRkYmLy4MEDhfjs2bMBAEFBQWjkyZMnFApl5cqV1dXV9fX169evJxKJMTExfec/kL5pHx8fBoNRXl6enJxMJBLz8vKQePfWls8//xwAID9ypY83CN+inbG2ttbKysrS0jIqKqq5ubmhoeHUqVPq6uryvRy9lYhMPoj2Tb948cLb25vNZg+wnbF7hv2KQXqZDQwMIiIiBAJBRUXFxo0b9fT0Xr9+3ccXK983LRAI0L7p4ODggXyrI4xIJJo5c6aFhYVCqxkmRERE4HC4V69e9ZYgOTkZuc3RG6q1tRVpuPj8888VEr/RpdvbPdJj/O0u4+43Vx9wOBwajebm5paSkiISibr3TSPweDwqlYrD4fz8/PrOsIf3pvPz8/X19d99993KysqBaBpCjIyMUMtGpSsMRwJyo0AyMjLmzZunqalJp9NnzZo1kBklZsyY0W/fdEFBwYwZM2g0momJyYkTJ2Qy2ZMnT+QF7N69W/bPlqb58+crpJH/1ZEfsQUAWL16tcLgr927d3ePIMc2NDTs2LEDGevHYrHmzp0bFxeHfNRHiQiFhYWLFi1ChndNnjw5IiICbWpYu3Ztd1X9ZtiHGIT6+vpt27ZZWFiQSCQDA4OVK1cWFRX18cV2P4rBYHh7e6N9a/1KGkmqq6vd3NzYbHZOTg6GMlAWLVrk6enZd5px48aZmprKd00ggwFevHiBRt7o0kXivf0re4sP/DLu8ebq4wTlZ5R4+vSpp6cnnU6nUqnu7u49GgIyre+jR4/6/t56vs4KCwttbGzYbDY6LhQCGeNERkYaGBiMGzdO3lMwpLq6mkQiXb58GWsho4w//vij74F9CD33TY8fP/7p06c+Pj7vvffe4sWLS0pKekwGgYwFkBcz5s+fP2vWrPT0dDs7O6wVAQDA2bNnNTU1kVZayMA5derUjh07+k3W66gdDQ2N8+fPx8XF5efn29rabtiwARntCIGMHcrLyz/99FMbG5vnz5/HxMRcvHhRSaavl8lk586dCwwMpFAoWGsZBfz+++/+/v4ikejUqVNNTU3Lly/v/5h+a5WdnZ1nz541MzMjEokrV67su+8CAlENnj59unr1ahKJZGJiEhwcPBzzHg4GZMiBkjzXjwB9ONjevXv7PRx5+5tIJDo4ODx79mwgJQ50HZjOzs7r168fOXIkIyNjwoQJAQEBAQEBcCEeiIpRWVl58eLFCxcu5OXlcTicnTt3rly5UgmXXV26dGldXd3jx4+xFqKyvPEKWc+ePQsNDb1y5UpDQ4O7u3tgYKCfnx+TyRwmfRDICMDn88PDw0NDQ+/fv6+lpbVy5co1a9ZMmTIFa109U1NTY2pqevbs2R5ffYEMCYNaVTU0NPTmzZtisdjR0RFZ19zZ2VlJXiCBQPoFXVX13r17EonE09Pz448/9vPzw3wId9/s27fv2LFjFRUV6LTNkCHnLZ0Rpbm5OTY2NjIyMiYmhsfjmZub+/r6+vr6zpw5843en4VARgaRSJSYmBgZGRkVFVVaWqqrq+vt7b1gwQJvb+8+3hVTHjo7Oy0sLAICAn744Qestagyg3VGFKlUmpmZifwCJycn4/H4CRMmuLm5ubq6enh4wBZJCIbU1dWlpqYmJSUlJiampaV1dHTY2dktXLhw9uzZ7u7uStiM2AdhYWEffPBBcXHxCK9BMtYYMmeUp7a2NiEhISEhITEx8fnz5xKJZPz48a6urm5ubi4uLnZ2dqPrWoSMOrq6uvLy8jIyMhITE5OSkgoKCggEwsSJE2f8jdLOVdEvrq6uBgYGN27cwFqIijMsziiPUChMSkpKSkp6/PhxWlpaW1sbmUx2cHBw/htkxsBh1QBReTo6OnJycjL+Jjs7u729nUKhTJ48ecaMGcivspIMRRwMmZmZzs7ODx8+dHd3x1qLijPszihPV1dXfn5+ZmYmcvlmZWUJhUISiWRvb+/g4GBnZ2djY2NnZ2dpaUkgEEZMFWTUIZFIXr16lf83z58/z83N7ezspNPpHA4H/dG1s7MbjlVGMSQoKCg9PT0nJwf2cw43I+qMCkil0pcvXyIumZOTU1BQ8Pr1awAAmUweP368ra2tra0tYpfW1tboStOQsUZbW9vLly8LCwvz8/Pz8vIKCgoKCgqQVcVNTU1tbGwmTpzo5OTk7Ow8YcIEZC5hlYTH45mamv7yyy/InAiQYQVLZ+yOWCwuLi7Oy8t78eJFXl5eaWlpbm4ucg9oaWlZdsPMzAzWLlWJpqam0m6UlZUhEzsbGBjY29vb2dkhfx0cHFTgAXngfPfdd0eOHKmsrIS1hBFAuZyxOx0dHS9fviwpKUHvk1evXpWWliIT1lIoFAsLC3Nzc0NDQ2NjY2Nj5l8cCgAAIABJREFUYwMDA1NTU0NDQx0dHay1Q3qmsbGRy+WWl5dXV1dXVlZWVlZyudyysjKFf6uFhYX8r+D48ePHcnu0WCy2sLAIDAyEg3VGBmV3xt7gcrmoV75+/ZrL5SL3mEAgQBJQqVRjY2NDQ0MTExN9fX19fX0Wi8VisfT09NhsNovFGsu32bDS0dHB4/Hq6upqamp4PF59fX1NTU1NTU1FRQWXy62oqGhra0NSamhomJiYGBkZGRoampmZoSZoaGgI29EU+OOPPzZs2FBaWmpsbIy1ljHBaHXG3hCJRBUVFVVVVVVVVcitWFlZWV1dXVtby+Px0KURAAAMBgOxS11dXX19fR0dHSaTqaWlJf8X2cDwdDCho6Ojx5dAmpubm5ubm5qampqakA3kb2NjI2KCPB6vtrYWXZECAEAmk5FfIwMDA+SHCqnRGxkZmZiYwHcBBohMJnN0dHRycgoJCcFay1hB1Zyxb4RCofw9XFtbW19fz+Pxqqur0RserXWioBappaVFo9GoVCqDwUDmDdbQ0NDQ0KBSqXQ6HZk6m0ajIWtIqqurk8lkAoGgJG1hAoFAIpF0dHS0tLTIZLLm5ubW1ta2tjY+ny8Sidra2oRCoVAobGtrq6mpuXfvno6ODoPBkEgk6DejcKloaGggX4u2tjZaJWez2Xp6esi2vr6+kpz7aCc6OtrX1zczM9PR0RFrLWOFseWMA0EikchXiBRqSS0tLd3dpLW1taWlpe9s6XQ6iUQiEolIRUlDQwMdUKKmpia/lKVEIkG6lXp8Wa27QwEAWltbkX4q5HDE3IVCYVdXV2dnp8Lygd1B7F5TUxN1+cbGRmTRSzqd7ujoOHXqVBcXF4VqNez7GjFmz55NIBCQteQhIwN0xiGDz+cjtTBk4RoFY5KvsiGJ0YV0RSJRZ2cnmk9oaOiUKVOsrKx6dDQajdb9UZdEIqELB+NwOKQFQKHSqmDNTCZTXV2dSqX22Fwgk8m8vb3j4+NlMhmJROrs7GQwGIsXL16yZImXlxecLXUkyc7OdnR0jImJmTt3LtZaxhDQGZULPp/PZDKjoqKQNVExhMvl2tjYiEQi9ApBLJJMJnt5ea1YscLPz09+3XTIMBEQEJCVlZWdnQ17pUYSlR0WO0pBltxRhiXeDQ0Nf/nlF/kIUrEVi8WxsbFBQUG6urpz5849c+ZMbW0tRhpVn8rKymvXru3YsQPa4ggDnVG5KC0txePxSjKNSlBQkI+PT/fpPyQSiUwm6+rqio+PX79+fUpKCibyxgJHjx7V1dV9//33sRYy5oDOqFyUlJQYGxsrz1jLs2fPIiuX9/gpgUDYtm0bsoY6ZMhpbGwMDg7esWOH8lwPYwfojMpFRUWFmZkZ1ir+HwMDg+PHj/fYGE0ikSZOnHjgwIGRVzVG+OWXX9TU1D7++GOshYxFoDMqFzwej81mY63iHwQEBPj5+Sk8U+PxeDU1tZs3byr5wgCjl5aWlhMnTmzevBmOh8cE6IzKBY/HY7FYWKtQ5MyZM3Q6Xf6ZWiqVisXihw8fYidKxTl16lRbW9unn36KtZAxCnRG5aK+vl4JnZHFYp04cQJ9piYSidu3b9+9e/fatWu3bt2KDsyEDBVisfjo0aPr16/X1dXFWssYRaXm9VQBeDyect4Mq1atunbtWmRkJAAAaV5UU1OztbUNCgqqqKi4cOGC/Gs8kEESGhpaV1e3detWrIWMXWCdUblobGxU2vnTTp8+TaPRKBQK2ry4YsWKuLi4hISEmTNnVldXYy1QRZBIJIcOHQoKCoLrymEIdEYlorOzs6OjA33PT9lgs9nBwcEXLlyQH27p5uaWkpLS0tIyY8aM0tJS7NSpDtevXy8tLd21axfWQsY08O1AJaKlpYVOpyvDq4FvSmNj4/z588vKyqKjo+F8MINBJpNxOBx7e/srV65grWVMA+uMSkRHRwcAYDQuOautrR0XFzdx4kRPT8/ExESs5Yxibt26lZub++WXX2ItZKwDnVGJQJxxlI4QpNPp4eHh7u7u3t7e0dHRWMsZlchksh9++GHJkiUTJ07EWstYBzqjEoFM2TAa64wIFArlxo0by5Yt8/f3j4mJwVrO6CM8PDwjI+OLL77AWggEjtpRJrq6ugAAo3pGWCKReO7cOTKZvGjRolu3bvn6+mKtaDTx3Xff+fn5ubi4YC0EAp1RmUBWy0QXkBql4HC4kydPtra2Ll26NCIiYtasWVgrGh1ERkampaWdOHECayEQAKAzKhXIG7JCoRBrIYMFj8eHhITIZLKFCxdGRkZ6eHhgrWgU8MMPPyxYsGDy5MlYC4EAAJ1RqaBSqUQiUQWcEQBAIBBCQkLEYrGfn9/jx485HA7WipSae/fuJSUlJSUlYS0E8j9gD4xyQafT+13QarRAJBIvX7787rvv+vr6lpeXYy1Hqdm/f7+Pj8/06dOxFgL5H9AZlQs6na4adUYEEol048YNFos1b948+XWoIfLcv38/ISHhq6++wloI5P+BzqhcaGtrNzQ0YK1iKNHU1IyMjBQKhf7+/ujSrxB5vv7669mzZ7u6umItBPL/QGdULiwsLF69eoW1iiHGyMgoPDz82bNnGzZswFqL0hEVFZWUlLRv3z6shUD+AXRG5cLS0lIl52VwdHS8evVqaGjo6dOnsdaiRMhksm+//fa9996bOnUq1log/wA6o3JhYWGhks4IAJg3b97u3bu3bt367NkzrLUoC7du3UpLS/v222+xFgJRBM61o1xEREQsXLiQz+drampirWXokUqlPj4+RUVFGRkZ2traWMvBGKlU6uTkZGtrGxYWhrUWiCKwzqhcWFlZAQBUr6kRAY/HX7x4saurKygoCP4kX758+cWLF3v37sVaCKQHoDMqF1ZWVmQyOTs7G2shwwWbzb58+XJ0dPSxY8ew1oIlEolk//79AQEBtra2WGuB9AB0RuVCTU3NwcEhLS0NayHDyMyZM7/55pv//Oc/hYWFWGvBjD/++KO0tHTPnj1YC4H0DHRGpWPKlClPnz7tHheLxV9//bWNjY26urq2tvbChQvDw8MlEgkA4PDhwzgcDofDGRsbp6WleXl5aWhoqKure3p6Krxw1tDQsGPHDisrKzU1NS0trXnz5j148AD5aP/+/Ugmbm5uSCQmJgaJyC/a1YcMBB6Pt2XLFnNzczU1NRaLtXjx4qysLIVz+fzzzydOnBgUFCR/oOqdZm90dHT88MMPH330kaWl5QAPgYw0MoiSceXKFSKRyOfzFeIfffQRg8G4d+9ea2trTU3NZ599BgB48OABmoDD4dBotGnTpiUnJ4tEorS0NAcHBzU1tYcPHyIJqqurLSws9PT07t69y+fzCwsLFy9ejMPhzpw5g2ZCo9FcXV3ly3VxcdHR0RmgDC6Xa2Zmpqenh4zuzs3NdXd3p1AoycnJCqeTl5dHJpN/+ukn1T7NHjl27BiFQqmoqBhIYggmQGdUOng8Hh6PDw8PV4hbWFhMnz5dPjJ+/HgFywAAZGZmohGkvZLD4SC7QUFBAIArV66gCdrb2w0NDalUak1NDRLp1zL6lhEYGAgAuHTpEvppdXU1mUx2cXHpfqbffvuturp6UVGRap+mAq2trUZGRtu3b+83JQRDoDMqI46Ojp988olCcOPGjQCAdevWPXnypKurq/tRSGVKIWhoaAgA4HK5MpmMwWAAAAQCgXyCgIAAAMD58+eR3X4to28ZDAYDj8crVHidnZ0BAN2rSJ2dnS4uLtOmTZNIJCp8mgocOHCARqOhHg1RTmA7ozLi5+d38+ZNqVQqHzxx4kRoaGhpaamXl5empqaPj8/t27cVDmQymQoRNpsNAKirqxOLxXw+n0KhILNAoujp6QEAampqBqitDxlIEVKplMFg4OTIyMgAALx8+VIhKyKR+Pvvv6elpf3xxx8qfJryiESiI0eObN26FdEDUV6wtmZID+Tm5gIAEhMTe/y0o6Pj3r17c+fOBQAcOXIEjXM4HAqFIpVK5RO/aWVKQ0Nj8uTJ8gmsrKzkK1N9y2AymUQisbOzc+Anu2XLFjab3dTUpNqnibB3714Gg9HQ0PCmB0JGGOiMSoq9vf3GjRvlIwwGIz8/H91tbW3F4XCzZs1CI0gDXGpqKhp5iwa48ePHGxoaogmqq6tJJJK8ZfQt41//+hcAAO0MQThw4ICJiUlvPtLY2MhisdB2N1U9TeRMmUzmvn37eksAUR6gMyopP/30k4aGhnzFh8FguLu7P3/+vL29vba29ptvvgEA7N+/H03A4XAYDIaXl9dAOm0FAgHaaRscHIxm8umnnwIAfv31V6FQWFxcvHz5ciMjIwXL6ENGbW2tlZWVpaVlVFRUc3NzQ0PDqVOn1NXVr1692sfJnj59mkgk5uTkqPZpfv7557q6ugqVWYhyAp1RSamvr6dQKPI3c1ZW1vr1621tbZERdlOnTj1z5oz8QyWHwzEyMsrLy/P29tbQ0KBS/6+9M49q8sr7+PNkgYQtEJSwBkGISlhl2OpWS0SrIkVErYxWj+NSq0cdz6lTsZ2xtnV66hmndooWZqzWBRUFFfGMAtYqAhHDJomCoAQDCSHEJCSBJCR5/7ivORlQqgh5SLifP3Ke3Ofm3m8Cz/e5z11+lzxnzpwBj+QSiWTHjh0BAQFEIpFCocyfP7+0tNQ8g0wm+9Of/uTl5UUmk2fOnFlVVWXaym737t2vIwPMJQwMDCQSiRMnTkxKSiouLh76y+r1+piYmMTERBv+mmKx2MnJ6eDBg0P/FJAxAowoMXZZv359WVkZj8d7zX1WIyMjJRKJQCAYbWGjQVlZ2ezZsy9fvpycnDx0Tiv9mtu3b8/Ly2tubgY7RELGOHBseuyyZ8+elpaWixcvYi3EEsycOTM9PX3Pnj0DRuRtg46OjpycnL1790JbtBagM45dJk+enJ6evm/fvv7+fqy1WIL9+/c/evQoNzcXayEjz9/+9jcPD4/169djLQTy2mD9OA8ZipaWFnt7+8OHDw+d7bvvvjP/m2ZmZlpG3oizbt26gIAAjUbz0rNW+jWfPn1qZ2d37NgxrIVA3gDYzzjW2b1797///e/GxkbzeAe2Cp/PnzJlyvfff79p0yastYwYq1evvnfvHpfLJRDg9u5WA3TGsY5CoWAymTNnzrTJx8zBbN26taCgoLm5mUwmY61lBGCz2QkJCefOnUtPT8daC+QNgM5oBZSUlCQlJeXl5aWlpWGtZdQRCoVBQUFff/31jh07sNbythiNxoSEBCKRePv2bRRFsZYDeQOgM1oH69evLyoqqq+vBwuEbZsdO3ZcvHixpaXFzs4Oay1vxc8//7xhwwYOhwPW7UCsCOiM1oFcLo+KigoKCvrvf/+Lw9n4jAKBQDB58uSjR4+uW7cOay3DRy6XT506NTU1NSsrC2stkDfGxq8xm4FCoZw/f/727dvffPMN1lpGHV9f31WrVn377bdWPbdxx44dRqNx//79WAuBDAsMx8Uhb8rhw4fxePz169exFjLqPHz4EIfD5efnYy1kmBQWFiIIcuHCBayFQIYJfJq2MlavXn316tXy8nKb33MuNTW1vb39pVvijHFkMllYWNh777134sQJrLVAhgl0RitDq9UmJSW1tbVVVlba9mgMm82Oj4//7bffZs+ejbWWN2PlypVlZWUPHjxwc3PDWgtkmMB+RivDzs7u/PnzCIIsWbJEqVRiLWcUiYuLi4+P/+GHH7AW8mb861//unDhwvHjx6EtWjXQGa0PDw+PGzdu8Pn8JUuW9PX1YS1nFNm2bVtBQUFrayvWQl4XNpu9a9euffv2sVgsrLVA3gr4NG2t1NbWzp0799133z1//jyRSMRazqig0+kCAgLWrFkzBkfkdTrdgJ9dKpVGR0czmcwrV67Y/Mwqmwf+/ayVyMjIq1evlpaWLlu2TKPRYC1nVCASiRs2bMjJyRlrTWOVShUfH9/S0mJK0Wq1YIXSL7/8Am3RBoB/QitmxowZN2/eLCsr++CDD3p7e7GWMyps2rRJoVCcPXsWayH/Q1ZWVnV19ezZs/l8PoIgRqNx48aNHA7n0qVLVCoVa3WQEQA+TVs91dXVSUlJDAbjypUrNhmPZ9WqVU+fPq2oqMBayP+jVqv9/PykUimBQPDy8iovLz927NiXX35ZUFDwuwHJIVYDprMpISMDl8ul0+khISF8Ph9rLSNPaWkpgiC1tbVYC/l/Dh48aNp/gkgkenp6oiialZWFtS7ISALbjDZCe3v7woULu7u78/PzY2NjB5yVSCQ9PT0BAQGYaHtLjEYjg8FYvHjxoUOHsNaC9PX10en0rq4uUwqRSKRSqTU1NV5eXhgKg4wssJ/RRvDx8bl9+3ZERMTs2bOPHj064OyuXbuSk5NVKhUm2t4SFEXXrl178uTJsTAOk5WVJZVKzVN0Op1UKp01a1ZnZydWqiAjD9aNVshIYjAY/v73v+NwuIyMDJVKBRJv3bqFoigOh1u2bJn5vqBWhFAoJBAIubm52Mro7e2dOHHiS68jIpEYEhIikUiwVQgZKaAz2iDXrl2jUqkRERHNzc0ajSYoKAj0i+FwuAMHDmCtbpgkJyfPmzcPWw3//Oc/h97hNiYmpre3F1uRkBEBOqNt0tLSEhUV5ebmtmnTJvOLGUXRq1evYq1uOOTl5eFwOIFAgJWAIRqMBAIBh8MtX7587AwTQd4S2M9omwQGBt69e3fZsmU///yzXq83paMounz5ch6Ph6G24bF48WIXFxcMJzZmZ2cP6GFEEIRIJBIIhJUrVz58+PDcuXMwdrfNAJ3RZiGTyWASj3miwWDQarXJyclyuRwrYcODRCKlp6efOnUKk9o1Gs3XX39tHkkXj8c7ODh8/PHHfD7/5MmTDAYDE2GQUQI6o82Sm5tbXFys0+kGpPf39z979iwjI8PqImZnZGTU1tY+ePDA8lXn5OR0d3cbjUYwlkWlUvfu3dve3v799997e3tbXg9ktIHzGW0TmUwWHBwslUpfZX84HG7v3r379u2zsDAEQXp6epRKpVKpVCgU/f39PT09RqNRJpMhCKJQKPR6vUql0mq1fX19YMmjwWAwtXDPnDkTFhYWFhZmnmiOi4vL4EESUyKZTCaRSEQi0cnJCYfDUSgUBEFcXV1RFHVyciISiS4uLk5OTk5OTs7OzqaPazQaf3//zs5OFEUDAgIyMzP/+Mc/WvvuXZChgc5om3zyySdZWVl2dnZarfZVeVAUvXjxYmpq6lvWJZPJJBKJVCrt7u4Gr+BALpcrlcqenh6ZTKZ8AXDAVwHsCfiXnZ2do6MjSDdZW39/v2k/+8Em+FK7NE8EnqvRaNRqNTDlIcS4uroCl1Sr1W1tba6urhEREUwmc8KECe7u7lQq1fTq7u4OozHaGNAZbRO5XF5VVVVWVsZms8vKypRKJTCU/v5+Ux4URUkk0r1790JDQ19Vjl6vF4vFIpGoo6NDLBa3t7eLxWKhUCgSiUxuaD7CY2dnZ/ILCoUCGl/gAODm5ubo6AiOXV1dTQ03CoWCSYgaU3NVLpcbDAaZTKZSqYCJP3/+HDRsL1265Ofn5+zsrFQq5XK56R5gHuIIj8ebXJJGo3l7e3t4ePj4+NBoNC8vL09PTw8PD5OnQ8Y+0BltH71e/+DBg/Ly8srKyjt37oBAsCQSCVzYdDq9pqZGo9Hw+fy2tjY+n8/n81tbW589e9bZ2SkWi03P446Ojt7e3jQazdPT08vLy7zpZDo2fwi1eZRKJbBIiURiailLJBKRSCQUCjs7O9vb203rjlAUpdFoHh4edDrd/wXgGC4rHINAZxxfaDSa+/fvFxUVsdlsHo8HjA+HwwH7w+PxXl5ekyZN8vf39/PzA40dLy8v0PxxcnLCWr71oVKpQEO7o6NDJBKJRKJnz561trby+fyOjg7Q3CaRSCaXDAoKYjAYDAYjKCjI3t4ea/njF+iMtoxAIHj48OHjx48bGxubmpqampr4fL5er0dR1M/PLygoiE6nk0gktVodFxf3/vvv+/r62mp48DGITqdrb283NdLBQXNzc1tbm9FoxOFw/v7+DAYjODh46tSpwcHB06ZN8/Pzw1r1eAE6o+2g0+mampo4HA6Px+NyuVVVVSDGgZubW+ALQkJCmEzmlClTYANwzKLVagUCAZfL5fF4T8xAEIRCoYSGhjKZzJCQkOjo6OnTpzs4OGCt1zaBzmjFaDSampoaNpt97969urq6xsbG/v5+BwcHJpMZERERHh4eHh4eGhrq7u6OtVLI2yKVSrlcbn19fV1dXV1dHZfLValUBAIhODg4IiIiNjY2Li5u+vTpJBIJa6U2AnRGK4PP51dUVFRWVrLZbDByMmHChNjY2MjIyIiIiIiICFP8CIgNYzAYmpub6+rq6uvra2tr2Wx2V1eXnZ1dVFRUXFxcXFxcQkKClYbjHCNAZ7QCOjo6Sl4A4nGFh4cnJCSAHZmDg4OxFgjBnpaWlsrKSnDLrK2t1el0np6eiYmJLBaLxWL5+vpiLdDKgM44RlEqlbdu3SopKSkuLubxePb29u+88w6LxZo1a1Z0dDTsXYIMQW9vL4fDKSsrKykpuXv3bl9f37Rp04BFzp07d1zNrBo20BnHFjKZrLi4uLCwMD8/X6VSBQYGgn/o+fPnu7i4YK0OYn309vbevXsXPHDU1NSgKBofH5+env7hhx96eHhgrW7sAp1xTCCVSi9fvnzhwoWSkhIEQVgsVlpa2qJFi2g0GtbSILZDV1fXtWvXLl68eOPGDYPBkJiYmJaWlpqaCsfoBgOdEWM4HE52dvapU6f0ev28efOSk5NTU1NfFSEVAhkR1Gp1aWlpXl5eQUGBVqtNSUnZuHEji8XCWtcYAjojNqjV6tzc3CNHjnA4nKioqC1btqxYsQJ2AEEsjFKpzMvLy8rKun//fkRExJYtWzIyMkyBPMYz0BktjVarPXLkyFdffdXT05Oenr5ly5aEhASsRUHGO1VVVVlZWWfPnnVwcPjss8+2bt063qdGWnRvhfGNwWA4c+ZMYGAgmUzevXu3WCwejVqYTKb533fFihUgPTEx0ZQYHR1t/pGioqLg4GA8Hj8iAgoKCkwVwe2irAuJRLJ3715HR0c6nX7ixAm9Xo+1IsyAzmghGhoaYmJi8Hj8unXrwMLY0UMkEoE+9VOnTpmnAwc07bZqNBqbm5uTk5PDw8NBrMMR1JCSkjKenbGnpycoKGjRokVYCxkO7e3tGzZsIBAIkZGRdXV1WMvBBrjbgSXIycn5wx/+QCAQampqjh07NtpxAWg02uHDhxEE2b59u2l7+OfPn2/evPn48ePmcyE///zzd955h8PhwC7OkcVoNBoMhgEB1Z2cnGbOnImVpNfH29s7Ozu7vr7e2dk5Njb2xx9/xFoRFmBtzbbPX/7yFxRFP//8c51OZ8l6lyxZgiBIWloaeJuRkfHpp58OyKNWq8GBj48PbDOONo6OjjNmzMBaxRvQ39//5Zdfoii6c+dOg8GAtRyLAp1xdPnqq6/wePwvv/xi+ao7OjpACH4wOYPJZPb19b0qM3RGC2B1zgg4d+4ckUjMzMzEWohFgc44ity+fRtF0aysLKwEHD9+HEEQEHf2/v37Q+QcJWd8+vTp8uXLKRQKlUpdtGhRc3OzeR6JRLJz587AwEAikejq6rpgwYKbN2+CU+bDOI8ePUpPT6dSqeBtTk7Oq051dXUNu9gZM2aYTpn8C0y8v3LlCni7fft2U568vLzXUQjuDd99992AZzXzX1ssFm/bts3f359IJE6YMCE1NbWmpuZ3BYMvaxmOHTuGIMiNGzcsViPmQGccRWJiYjDvg1+4cCGCIHPmzBk62xs549y5c6lUakVFxRB5gDOmpKSUl5crlcrS0lIXF5eYmBhTBqFQGBAQQKPRCgsL5XJ5Y2Pj0qVLURTNyckZUMicOXN+/fVXlUpVWVmJx+OBI7zq1NsUCzrUTp8+bcq5du1axGx832g0FhQUJCYmvr5C81bzS9uMHR0d/v7+NBqtqKiop6enoaFhzpw5JBKpvLz8dWqxGGlpaaGhoZasEVugM44WPB4PQZDbt29jK8PUzLl06dIQ2d7IGefMmePm5mZ+6Q4GXMyFhYWmlFWrVpm3dIDp5ObmmjL09fV5e3uTyWSRSGReyLVr115V/uBTb1Nsd3e3nZ3dggULwFu1Wu3m5hYUFEQmkxUKBUhMTU09ceLE78owvrYzfvTRRwPsWCgU2tvbm8+sGqIWi1FVVYUgCIfDwVCDJYFj06MFl8vF4/Hx8fEYarhz505+fv4//vEPBEE2b978/PnzESn21q1bUqn0dSaox8TEmI59fHwQBOno6ABvwXPiokWLTBns7e0TExN7e3uvX79uXkhsbOyryh986m2KpVKpCxcuLC4uFolECIJcvnw5Li7uk08+6e3tzc/PRxBEKpXeunVr6dKlvyvj9bl06RIOh1u8eLEpxdPTk8lkcjgcgUAwUrW8PSDCU0NDA4YaLAl0RptFqVSuXbs2Ozt7586d77//vkgkMu8mswxgx1QA2DQVTGTRaDRyuZxEIg2YLQQiaABjMjHEYrUBp96+2DVr1uj1+jNnziAIcvLkyTVr1nz44Yd4PP706dMIguTm5i5evHjwRhHDXk4HBBsMBgqFgppRXV2NIMjjx49HpBbIMIDOOFqEhobq9fqKigqsBOzatYvFYi1YsABBkJ9++snFxeXkyZNXr17FSo859vb2FAqlr6+vp6fHPB3MvvT09MSq2EWLFlGp1JMnT3Z1dVVWVn7wwQc0Gi0pKenmzZtCofDEiRNr1qwZnjYEQVAUHSzY1dWVQCC8dEbX3Llzh13XiHP//n21Wh0WFoa1EAsBnXG0mDp1amxs7IEDBzCp/fr168XFxQcPHgRv/fz8wPGmTZvAxvOYk5qaiiBIUVGRKUWj0ZSWlpLJ5Pnz52NVrJ2uw55OAAAHzUlEQVSd3YoVK2prazMzM1NSUshkMoIgq1ev1uv1f/3rX4VC4XvvvTdsbQ4ODlqtFhxPmTIlOzsbQZClS5f29/ffvXvXPOe3335Lp9P7+/uHXdeIc+DAgbCwsKioKKyFWArLd22OH8rKynA43A8//GDhep8/f+7n5/frr78OSAdhptauXTv4I6M0Nm0+/rB7924EQUzzUcwHkRUKhWkQOTs7e4hCfvfUWxZrNBrLy8vBpWH6AdVqNXg8371792vKeOmpBQsWUCiUtra28vJyAoHA4/GMRmNnZ+fkyZMDAwOvXbsmk8m6u7uPHj3q4OBw7ty51xRsAXJyclAULSkpwUqA5YHOOLp88803eDz++PHjFqsRDHQAUlJSQOLgsZdDhw4ZjcbCwsLBN0vzCS4vZdasWUOMTQ/oQAAzhM1TTDOZJBLJjh07AgICiEQihUKZP39+aWnpSwsxv4UPceptijUnODiYTqebr/oAQ95cLvd1ZJhPQkQQJCMjA6Q/evRo1qxZjo6Ofn5+P/74oyl/d3f3n//8ZzABc+LEiUlJScXFxW8keFTJzc0lEAhffPGF5avGEOiMo05mZiaKop999pmFVwdCIG+JTqf74osvUBTdtWvXeFsdCOMzWoL//Oc/27ZtCw0Nzc7OjoyMxFoOBPL7NDQ0bNy4saam5tChQ5s3b8ZajqWBIzCWYP369dXV1Xg8Pjo6+qOPPmpra8NaEQTyStrb29evXx8ZGanT6aqqqsahLSLQGS3G1KlTy8vLc3Nz7969O2XKlE8//VQsFmMtCgL5HyQSSWZmJoPBuHnz5okTJ9hsdmhoKNaisAE+TVsarVb7008/7d+/X6FQpKWlbdmyxTyWAQSCCZWVlUeOHDl//ryDg8OePXu2bt1qb2+PtSgsgc6IDb29vWfPnjXtTPTxxx+vXLnSfMUIBGIBenp6zp07d+TIkerq6sjIyC1btqxatQoutkGgM2IO2FX19OnTfX19cIt0iGWQyWTFxcWFhYX5+fn9/f1LliyBu6oOADrjmEAmk125cuXChQvmW6QvXrx42OvkIJDBiMXioqKiixcvFhcXIwjCYrGWLVuWkpJiivkIMQGdcWxh2iI9Pz9fpVIFBgayWCwWi5WUlASftSHDQK1Wl5eXl5SUlJSU1NTUEInEefPmJScnp6amTpw4EWt1YxfojGMUlUr122+/gX/ohoYGIpEYHx/PYrFmzZoVExMDe4IgQ6BWq+/fv3/nzp2SkpKKigqNRsNkMsEt9t133x0cKwgyGOiMVoBIJCotLQUuKRAICARCaGhoQkJCfHx8XFwcg8EYHMQFMt54/PhxZWUlm82uqKior6/v7+/38fFJTEwEhujl5YW1QCsDOqOV8ezZs8oXVFdX9/X1UanUuLi4yMjIiIiI8PDw4OBgAoGAtUzI6KLX6x8/flxfX19XV1dXV8dmsyUSib29fVRUVHx8fHx8fEJCAp1Ox1qmFQOd0YrRarU1NTVsNvvevXt1dXWNjY06nY5EIjGZzIiIiLCwsPDw8NDQUDjSbQN0dXVxudz6+nrghlwut7e3l0AgMBiMiIiI2NjY+Pj4qKiocT4JcQSBzmg76HS6pqYmHo/H5XI5HA6HwxEKhQiCuLq6gjhXgYGBISEhTCaTwWAMiHoNGTtotVqBQMDlcnk83pMnT548edLQ0AACkru6ujKZTCaTGRISEh0dPX36dAcHB6z12ibQGW0ZkUjE4/GampqampoaGxubmppaW1tBPFRfX9+goCB/f/9JkybR6XR/f386nU6n02Gjw2Jotdq2tra2tja+Gc3Nzc+ePUMQhEAg+Pv7MxiMKVOmMBgMBoMxbdo0b29vrFWPF6Azji90Ot2TJ0+ASzY3N4PLsrW1Va1WIwiCoqinpyfwSl9fXx8fH7BXNY1G8/b2htOGhoFCoejo6Ojs7GxvbxeLxe3t7QKBoK2trbW1VSgUgquPTCZPmjQJ3JyCgoKCg4OnTp0aGBhoZ2eHtfzxC3RGCIIgSFdXF3BJcNHy+XyBQCAUCjs7O00x98lkspeXl5eXl6enp7e3t7u7u7u7O5VKpVKp7i8YV+6pUCi6u7slEolUKpVKpd3d3VKpVCKRCIVCoVAoEomEQiG45SAIQiAQPDw8vLy8fH19BzTVYUfwGAQ6I2QojEajWCwWi8UCgUAsFnd0dIALXigUAiPo7u42366EQCAAo6RSqS4uLk5OTm5ubk4voFAozs7O4NjFxYVCoeBwOBcXFzwe7+joiEkTSafTKZVKg8Egl8uNRqNMJuvp6VEqlUqlUqFQyOVy5QueP3+uUqmAGw7xxd3d3cGdAzS0aTQaaHrTaDQ4ucqKgM4IeVsUCgVoK5ksA7ShFAoFMBSTucjlcrCJ6KuKIpFIZDKZSCQ6OTnhcDhTCxSPx7u4uAzIPNhMtVqtSqUakK2np8dkYaB2pVKp0+l6e3v7+vpepQTUDszdycnJ2dnZ1dUVGLrJ+sHrhAkTqFTquGosjwegM0IsjVqtNrXCEAQBr8C/1Gq1RqPRaDRqtVqv1ysUCvCRvr6+3t7eAeUMNlkURV1dXQdkI5PJJBIJHDs7OxMIBAcHB3t7ezs7O0dHR5Pnurm5gVdghXDMd5wDnRECgUAGAmN6QyAQyECgM0IgEMhAoDNCIBDIQP4PwT9lFWTfv+cAAAAASUVORK5CYII=", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "term_str = \"\"\"\n", "X:movie( directed_by -> X0:thrillerdirector(spouse -> X1),\n", " written_by -> X1:horrorwriter(spouse -> X0) )\n", "\"\"\"\n", "term = parse_term(term_str)\n", "display(term)" ] }, { "cell_type": "markdown", "id": "23216c2b-5be9-483d-9ee0-5cd2f6427204", "metadata": {}, "source": [ "If we normalize the term according to the theory, it turns out that it should be a `slasher`:" ] }, { "cell_type": "code", "execution_count": 49, "id": "139e70c6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X : slasher(\n", " directed_by -> X0 : thrillerdirector(\n", " spouse -> X1 : horrorwriter(\n", " spouse -> X0\n", " writer_of -> X\n", " )\n", " director_of -> X\n", " )\n", " written_by -> X1\n", ")\n" ] }, { "data": { "text/plain": [ "0.5" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "normal_term, alpha = normalize_term(term, theory.taxonomy, theory, return_degree=True)\n", "normal_term.pretty_print()\n", "alpha" ] }, { "cell_type": "markdown", "id": "ca5eeb1c-ddc7-4ed1-873c-b332235efa60", "metadata": {}, "source": [ "The term satisfies the theory with degree 0.5 since, according to the theory, a `thrillerdirector` directs `thriller`s." ] }, { "cell_type": "code", "execution_count": 50, "id": "679df2df-3f95-493d-85a6-97d6c68031d6", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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