Abstract
Contact Logic is a formalism for reasoning about the relation of contact between regions. We introduce a new inference problem for Contact Logic, the unification problem, which extends the validity problem by allowing one to replace variables by terms before testing for validity. Our main result is the proof that unification with constants in Contact Logic is finitary.
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Acknowledgements
Special acknowledgement is heartily granted to Tinko Tinchev (Sofia University, Bulgaria) for his valuable remarks. We also make a point of thanking the referees for their feedback: their helpful comments and their useful suggestions have been essential for improving the correctness and the readability of a preliminary version of this paper.
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Balbiani, P., Gencer, Ç. (2020). Contact Logic is Finitary for Unification with Constants. In: Ju, S., Palmigiano, A., Ma, M. (eds) Nonclassical Logics and Their Applications. Logic in Asia: Studia Logica Library. Springer, Singapore. https://doi.org/10.1007/978-981-15-1342-8_4
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DOI: https://doi.org/10.1007/978-981-15-1342-8_4
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