M. Fairtlough and M. Walton. Quantified Lax Logic. Technical Report CS-97-11, University of Sheffield, 1997. Home/Search Document Details and Download
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Proof Search Issues In Some Non-Classical Logics - Howe (1998) (17 citations) (Correct)
....ffiS ffiF : S oe T ) oe (ffiS oe ffiT ) The logic can also be presented as a natural deduction calculus (displayed in sequent style in Figure 3.1) and as a sequent calculus (Figure 3. 6) Lax logic has recently been investigated by Fairtlough, Mendler Walton ( Men93] FM94] FM97] FMW97] [FW97]) and by Benton, Bierman and de Paiva ( BBdP98] 48 CHAPTER 3. A PERMUTATION FREE SEQUENT CALCULUS FOR LAX LOGIC 49 Curry ( Cur52a] introduced the logic to illustrate cut elimination in the presence of modalities. The logic was rediscovered by Mendler, who developed the logic for abstract ....
M. Fairtlough and M. Walton. Quantified Lax Logic. Technical Report CS-97-11, University of Sheffield, 1997.
A Permutation-free Calculus for Lax Logic - Howe (1998) (1 citation) (Correct)
....natural deductions. This calculus is syntaxdirected and hence suitable for use in proof enumeration. Although we have only presented the calculus for the propositional fragment of the logic, the results easily extend to cover first order quantifiers. More about quantified Lax Logic can be found in [FW97]. We have also applied these permutation free techniques to Intuitionistic Linear Logic, How97a] Owing to the nature of the introduction rule for the exponential, the resulting sequent calculus, SILL, is complicated. We are currently refining this work. The intuitionistic calculus MJ has been ....
M. Fairtlough and M. Walton. Quantified Lax Logic. Technical Report CS-97-11, University of Sheffield, 1997.
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