2 citations · 12 across the 23 of their papers we have counts for
14 papers · 1 filter
Support is Search
Alexander V. Gheorghiu
Sandqvist's base-extension semantics for intuitionistic propositional logic defines a support relation parametrised by atomic bases, with validity identified as support in every ba…
Semantic Foundations of Reductive Reasoning
Alexander V. Gheorghiu, David J. Pym
The development of logic has largely been through the 'deductive' paradigm: conclusions are inferred from established premisses. However, the use of logic in the context of both hu…
A Note on an Inferentialist Approach to Resource Semantics
Alexander V. Gheorghiu, Tao Gu, David J. Pym
A central concept within informatics is in modelling such systems for the purpose of reasoning (perhaps automated) about their behaviour and properties. To this end, one requires a…
A Note on the Practice of Logical Inferentialism
Alexander V. Gheorghiu, Tao Gu, David J. Pym
A short essay presenting the State-Effect Interpretation of natural deduction rules as an explanatory framework for recent developments in proof-theoretic semantics.
Inferentialist Resource Semantics
Alexander V. Gheorghiu, Tao Gu, David J. Pym
In systems modelling, a 'system' typically comprises located resources relative to which processes execute. One important use of logic in informatics is in modelling such systems f…
Proof-theoretic Semantics for the Logic of Bunched Implications
Tao Gu, Alexander V. Gheorghiu, David J. Pym
The logic of bunched implications (BI) can be seen as the free combination of intuitionistic propositional logic (IPL) and intuitionistic multiplicative linear logic (IMLL). We pre…
Proof-theoretic Semantics for Intuitionistic Multiplicative Linear Logic (Extended Abstract)
Alexander V. Gheorghiu, Tao Gu, David J. Pym
This work is the first exploration of proof-theoretic semantics for a substructural logic. It focuses on the base-extension semantics (B-eS) for intuitionistic multiplicative linea…
Proof-theoretic Semantics and Tactical Proof
Alexander V. Gheorghiu, David J. Pym
The use of logical systems for problem-solving may be as diverse as in proving theorems in mathematics or in figuring out how to meet up with a friend. In either case, the problem…
Defining Logical Systems via Algebraic Constraints on Proofs
Alexander V. Gheorghiu, David J. Pym
We present a comprehensive programme analysing the decomposition of proof systems for non-classical logics into proof systems for other logics, especially classical logic, using an…
Semantical Analysis of the Logic of Bunched Implications
Alexander V. Gheorghiu, David J. Pym
We give a novel approach to proving soundness and completeness for a logic (henceforth: the object-logic) that bypasses truth-in-a-model to work directly with validity. Instead of…
From Proof-theoretic Validity to Base-extension Semantics for Intuitionistic Propositional Logic
Alexander V. Gheorghiu, David J. Pym
Proof-theoretic semantics (P-tS) is the approach to meaning in logic based on 'proof' (as opposed to 'truth'). There are two major approaches to P-tS: proof-theoretic validity (P-t…
Definite Formulae, Negation-as-Failure, and the Base-extension Semantics of Intuitionistic Propositional Logic
Alexander V. Gheorghiu, David J. Pym
Proof-theoretic semantics (P-tS) is the paradigm of semantics in which meaning in logic is based on proof (as opposed to truth). A particular instance of P-tS for intuitionistic pr…
Provability in BI's Sequent Calculus is Decidable
Alexander Gheorghiu, Simon Docherty, David Pym
Warning: This paper contains a mistake, rendering the proof of the main theorem invalid. The logic of Bunched Implications (BI) combines both additive and multiplicative connective…
Focused Proof-search in the Logic of Bunched Implications
Alexander Gheorghiu, Sonia Marin
The logic of Bunched Implications (BI) freely combines additive and multiplicative connectives, including implications; however, despite its well-studied proof theory, proof-search…