Deduction as Reduction

Natural Deduction for Intuitionistic Non-communicative Linear Logic

We present a system of natural deduction and associated term calculus for intuitionistic non-commutative linear logic (INCLL) as a conservative extension of intuitionistic linear logic. We prove subject reduction and the existence of canonical forms in the implicational fragment.

Reduction as Deduction

Factors Affecting Concern about Zakat as a Tax Deduction in Indonesia

Historically, the Islamic state collected zakat (similar to the tithe of other regions) as national income. In Indonesia, the private sector can raise zakat funds more effectively than the government. In 2010, zakat became tax-deductible income. This paper tries to analyze some factors that affect preference for zakat as a tax deduction in Indonesia. The effectiveness of the regulation is also ...

Natural Deduction for Intuitionistic Non-Commutative Linear Logic

We present a system of natural deduction and associated term calculus for intuitionistic non-commutative linear logic (INCLL) as a conservative extension of intuitionistic linear logic. We prove subject reduction and the existence of canonical forms in the implicational fragment. We also illustrate by means of an example how the proof term calculus can be employed in the setting of logical fram...

A/z-CALCULUS: AN ALGORITHMIC INTERPRETATION OF CLASSICAL NATURAL DEDUCTION

1 INTRODUCTION This paper presents a way of extending the paradigm "proofs as programs" to classical proofs. The system we use is derived from the general Free Deduction system presented in [31. Usually when considering proofs as programs, one has only in mind some kind of intuitionistic proofs. There is an obvious reason for that restriction: only intuitionistic proofs are contructive, in the ...