| author | wenzelm | 
| Sat, 02 Apr 2016 14:17:03 +0200 | |
| changeset 62812 | ce22e5c3d4ce | 
| parent 55229 | 08f2ebb65078 | 
| child 66946 | 3d8fd98c7c86 | 
| permissions | -rw-r--r-- | 
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changeset | 1 | chapter Sequents | 
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changeset | 2 | |
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changeset | 3 | session Sequents = Pure + | 
| 48475 | 4 |   description {*
 | 
| 5 | Author: Lawrence C Paulson, Cambridge University Computer Laboratory | |
| 6 | Copyright 1991 University of Cambridge | |
| 7 | ||
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changeset | 8 | Various Sequent Calculi for Classical, Linear, and Modal Logic. | 
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changeset | 9 | |
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changeset | 10 | Much of the work in Modal logic was done by Martin Coen. Thanks to Rajeev | 
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changeset | 11 | Gore' for supplying the inference system for S43. Sara Kalvala reorganized | 
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changeset | 12 | the files and supplied Linear Logic. Jacob Frost provided some improvements | 
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changeset | 13 | to the syntax of sequents. | 
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changeset | 14 | |
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changeset | 15 | |
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changeset | 16 | Useful references on sequent calculi: | 
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changeset | 17 | |
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changeset | 18 | Steve Reeves and Michael Clarke, Logic for Computer Science | 
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changeset | 19 | (Addison-Wesley, 1990) | 
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changeset | 20 | |
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changeset | 21 | G. Takeuti, Proof Theory (North Holland, 1987) | 
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changeset | 22 | |
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changeset | 23 | |
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changeset | 24 | Useful references on Modal Logics: | 
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changeset | 25 | |
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changeset | 26 | Melvin C Fitting, Proof Methods for Modal and Intuitionistic Logics | 
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changeset | 27 | (Reidel, 1983) | 
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changeset | 28 | |
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changeset | 29 | Lincoln A. Wallen, Automated Deduction in Nonclassical Logics (MIT Press, | 
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changeset | 30 | 1990) | 
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changeset | 31 | |
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changeset | 32 | |
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changeset | 33 | Useful references on Linear Logic: | 
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changeset | 34 | |
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changeset | 35 | A. S. Troelstra, Lectures on Linear Logic (CSLI, 1992) | 
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changeset | 36 | |
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changeset | 37 | S. Kalvala and V. de Paiva, Linear Logic in Isabelle (in TR 379, University | 
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changeset | 38 | of Cambridge Computer Lab, 1995, ed L. Paulson) | 
| 48475 | 39 | *} | 
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changeset | 40 | options [document = false] | 
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changeset | 41 | theories | 
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changeset | 42 | LK | 
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changeset | 43 | ILL | 
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changeset | 44 | ILL_predlog | 
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changeset | 45 | Washing | 
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changeset | 46 | Modal0 | 
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changeset | 47 | T | 
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changeset | 48 | S4 | 
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changeset | 49 | S43 | 
| 48475 | 50 | |
| 55229 | 51 | (* Examples for Classical Logic *) | 
| 52 | "LK/Propositional" | |
| 53 | "LK/Quantifiers" | |
| 54 | "LK/Hard_Quantifiers" | |
| 55 | "LK/Nat" | |
| 48475 | 56 |