His main work is a book The Foundations of Frege's Logic, published by Walter de Gruyter in 1988.
He stayed there tutoring as an assistant from 1961 to 1968 at the department of Logic in the Faculty of Philosophy.
He was permitted to leave the country even though it was shortly after Soviet troops invaded Czechoslovakia in the Prague Spring.
He is remembered as a ferocious debater who liked to express his views directly regardless of any bad implications it could have.
Four years after the Velvet Revolution, in 1993, Tichý was offered the position of Head of the Department of Logic at the Faculty of Philosophy and Arts of Charles University in Prague.