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Dual-Context Calculi for Modal Logic [PDF]

open access: yes, 2020
We present natural deduction systems and associated modal lambda calculi for the necessity fragments of the normal modal logics K, T, K4, GL and S4. These systems are in the dual-context style: they feature two distinct zones of assumptions, one of which
Kavvos, G. A.
core   +4 more sources

Reverse mathematics and well-ordering principles [PDF]

open access: yes, 2011
The paper is concerned with generally Pi^1_2 sentences of the form 'if X is well ordered then f(X) is well ordered', where f is a standard proof theoretic function from ordinals to ordinals.
Rathjen, Michael, Weiermann, Andreas
core   +1 more source

Normalisation Control in Deep Inference via Atomic Flows [PDF]

open access: yes, 2008
We introduce `atomic flows': they are graphs obtained from derivations by tracing atom occurrences and forgetting the logical structure. We study simple manipulations of atomic flows that correspond to complex reductions on derivations. This allows us to
Alessio Guglielmi   +2 more
core   +7 more sources

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