Logical basis for the automation of reasoning: Case studies

Logical Basis for the Automation of Reasoning: Case Studies1

The educational function of Hosseiniyahs in promoting and perpetuating the Shiite lifestyle (Case study: Hosseiniyahs of Kashan)

Many philosophers believe that lifestyle is fundamentally dependent on worldview and ideology. Thus, the emergence of a culture in the social dimension occurs when people's lifestyles are in line with common thinking. Using the concept of guardianship along with Islamic monotheism, the Shiite school offers a practical program for all individual and social aspects of Shiites. In this program, re...

Theoretical principles of ethical architecture in the holy Quran: On the basis of Aristotelian logic in Islamic school of thought

This research is a Qur'anic review that examines the effects of ethics on architecture from the Holy Qur'an’s point of view with the goal of introducing logical theoretical principals of ethical architecture. In order to reach the research goal, this research conducts the Induction, deduction and reverse extraction of research’s resulted theoretical concepts based on Aristotle's formal logic. T...

Improving the Usability of HOL Through Controlled Automation Tactics

This paper introduces the concept of controlled automation as a balanced medium between high-level automated reasoning and low-level primitive tactics in HOL. We created a new tactic that subsumes many existing low-level tactics for logical operations and three new tactics that simplify common uses of term rewriting: definition expansion, simplification, and equational rewriting. To implement t...

A Type-Theoretic Framework for Formal Reasoning with Different Logical Foundations

A type-theoretic framework for formal reasoning with different logical foundations is introduced and studied. With logic-enriched type theories formulated in a logical framework, it allows various logical systems such as classical logic as well as intuitionistic logic to be used effectively alongside inductive data types and type universes. This provides an adequate basis for wider applications...