| author | paulson <lp15@cam.ac.uk> |
| Wed, 03 Apr 2019 15:14:36 +0100 | |
| changeset 70041 | 2b23dd163c7f |
| parent 69319 | baccaf89ca0d |
| child 70675 | efd995488228 |
| permissions | -rw-r--r-- |
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chapter Sequents |
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session Sequents = Pure + |
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description " |
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Author: Lawrence C Paulson, Cambridge University Computer Laboratory |
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Copyright 1991 University of Cambridge |
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Various Sequent Calculi for Classical, Linear, and Modal Logic. |
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Much of the work in Modal logic was done by Martin Coen. Thanks to Rajeev |
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Gore' for supplying the inference system for S43. Sara Kalvala reorganized |
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the files and supplied Linear Logic. Jacob Frost provided some improvements |
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to the syntax of sequents. |
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Useful references on sequent calculi: |
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Steve Reeves and Michael Clarke, Logic for Computer Science |
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(Addison-Wesley, 1990) |
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G. Takeuti, Proof Theory (North Holland, 1987) |
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Useful references on Modal Logics: |
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Melvin C Fitting, Proof Methods for Modal and Intuitionistic Logics |
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(Reidel, 1983) |
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Lincoln A. Wallen, Automated Deduction in Nonclassical Logics (MIT Press, |
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1990) |
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Useful references on Linear Logic: |
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A. S. Troelstra, Lectures on Linear Logic (CSLI, 1992) |
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S. Kalvala and V. de Paiva, Linear Logic in Isabelle (in TR 379, University |
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of Cambridge Computer Lab, 1995, ed L. Paulson) |
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" |
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theories |
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LK |
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ILL |
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ILL_predlog |
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Washing |
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Modal0 |
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T |
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S4 |
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S43 |
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(* Examples for Classical Logic *) |
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"LK/Propositional" |
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"LK/Quantifiers" |
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"LK/Hard_Quantifiers" |
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"LK/Nat" |