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Many-sorted logic in a learning theorem prover
Author(s) -
Thomas H. Kolbe,
Sabine Glesner
Publication year - 1997
Publication title -
lecture notes in computer science
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.249
H-Index - 400
eISSN - 1611-3349
pISSN - 0302-9743
ISBN - 3-540-63493-2
DOI - 10.1007/3540634932_5
Subject(s) - automated theorem proving , computer science , mathematical proof , gas meter prover , schematic , sort , reuse , realization (probability) , theoretical computer science , proof theory , first order logic , sequent calculus , calculus (dental) , matching (statistics) , algorithm , programming language , mathematics , information retrieval , medicine , ecology , statistics , geometry , dentistry , electronic engineering , biology , engineering
. In a learning theorem prover, formulas can be verified byreusing proofs of previously verified conjectures. Reuse proceeds by transforminga successful proof into a valid schematic formula which can beinstantiated subsequently. In this paper, we show how this reuse approachis extended to many-sorted logic: We first present the logical foundationsfor reasoning w.r.t. different sortings. Then their operational realizationis given by developing a many-sorted proof analysis calculus for...

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